The left-handed Ayub and Salman (82 not out) shared a fifth wicket partnership of 141, rescuing Pakistan from 60 for four.
Bangladesh need 236 runs to win.
The matches will be held from Sept. 18-22 in the Sharjah Cricket Stadium and will follow Afghanistan's one-off test match against New Zealand, which has been scheduled for Sept. 9-13 in Greater Noida, India.
Smith finished unbeaten on 79 off 79 balls and Green was 77 not out as Australia cruised to the winning target of 232 with 11.3 overs to spare
Even though in-form Soumya Sarkar had to walk off following some sort of trouble in his right eye, Bangladesh got off to a decent start in their chase of a meagre 99 in their third and final ODI against New Zealand in Napier on Saturday.
He will miss the final matches of the series in Nelson on Wednesday and Napier on Saturday but should be available for the T20 series starting on Dec. 27 in Napier.
Bangladesh captain Najmul Hossain Shanto said the result was "very disappointing" after pacer Shoriful Islam's early fireworks.
"This is a dream come true," said an overwhelmed Forde, who was named Man of the Match, in reflecting on his contribution.
Curran was spanked for 98 runs off 9.5 overs on Sunday as England slumped to a four-wicket defeat in the series opener -- the worst ever performance by an England bowler in ODI cricket.
Injured all-rounder Marcus Stoinis was Saturday ruled out of Australia's final one-day international against New Zealand, while David Warner was released from the squad to rest.
Top-ranked New Zealand collapsed to 82 all out in the face of scintillating bowling Thursday as Australia won the second one-day international by 113 runs to seal the Chappell-Hadlee series in Cairns
Emerging star Cameron Green held his nerve with a career-best 89 not out in Australia's thrilling two-wicket victory over New Zealand in the first one-day international on Tuesday in Cairns.
Cameron Green braved cramps to smash a career-best 89 not out and secure Australia's nervy two-wicket victory against New Zealand in the opening one-day international in Cairns on Tuesday.
Australia pacer Mitchell Starc claimed his 200th ODI wicket late in the third match against Zimbabwe to break a 23-year-old record.
Australia have leap-frogged a rival on the path to automatic qualification for the 2023 Cricket World Cup, with Mitchell Starc spearheading the team's assault.
All-rounder Mitchell Marsh has been withdrawn from the squad for Australia's five remaining one-day internationals in Queensland over the next two weeks because of an ankle injury.
Matt Henry made a return to the New Zealand ODI squad for the three-match ODI series against Australia starting September 6.
India's Shubman Gill dedicated his maiden international hundred to his father after getting "schooled" by him for missing the mark earlier, the top order batsman said after his match-winning 130 in the third one-dayer against Zimbabwe in Harare.
Mohammad Rizwan and Agha Salman made unbeaten half-centuries as Pakistan eased to a seven-wicket win over the Netherlands in the second one-day international in Rotterdam on Thursday to complete a series victory.
