Healy slammed a 115-ball 133 to help Australia post a mammoth 333-run target.
The right-hand batswoman decorated her innings with 17 boundaries and two sixes.
In 13.4 overs, the two took their side over 100. Rodrigues was dismissed on 42 in only her second ODI while Mandhana completed her half-century.
Ashleigh Gardner stood out with the ball, as she claimed both the crucial wickets.
Skipper Mithali Raj and Harmanpreet Kaur kept India in the hunt. However, the tourists hit back to dispatch Kaur for 25. She was soon followed by her leader Raj after scoring 21 runs.
Deepti Sharma then strcuk 36 runs while Sushma Verma contributed with 30.
With quick fall of wickets India fell short of 97 runs with 5.2 overs to spare. (ANI)