Finding the Third Proportional to 97,842,505.50 and 209,690,862.75
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Solution
The third proportional to 97,842,505.50 and 209,690,862.75 is: 449,398,323.32
Step by Step Solution
- Step 1: Write the proportion equation
97,842,505.50 : 209,690,862.75 = 209,690,862.75 : x - Step 2: Convert to fraction form
97,842,505.50/209,690,862.75 = 209,690,862.75/x - Step 3: Cross multiply
97,842,505.50x = 209,690,862.75 × 209,690,862.75 - Step 4: Simplify right side
97,842,505.50x = 43,970,257,920,839,336 - Step 5: Solve for x
x = 43,970,257,920,839,336/97,842,505.50 - Step 6: Final answer
x = 449,398,323.32
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.