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Finding the Third Proportional to 87,461,731.13 and 202,479,265.27

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Solution

The third proportional to 87,461,731.13 and 202,479,265.27 is: 468,751,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461,731.13 : 202,479,265.27 = 202,479,265.27 : x
  2. Step 2: Convert to fraction form
    87,461,731.13/202,479,265.27 = 202,479,265.27/x
  3. Step 3: Cross multiply
    87,461,731.13x = 202,479,265.27 × 202,479,265.27
  4. Step 4: Simplify right side
    87,461,731.13x = 40,997,852,862,505,304
  5. Step 5: Solve for x
    x = 40,997,852,862,505,304/87,461,731.13
  6. Step 6: Final answer
    x = 468,751,902.52

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.