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Finding the Third Proportional to 161,497,024.69 and 354,260,221.31

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Solution

The third proportional to 161,497,024.69 and 354,260,221.31 is: 777,105,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497,024.69 : 354,260,221.31 = 354,260,221.31 : x
  2. Step 2: Convert to fraction form
    161,497,024.69/354,260,221.31 = 354,260,221.31/x
  3. Step 3: Cross multiply
    161,497,024.69x = 354,260,221.31 × 354,260,221.31
  4. Step 4: Simplify right side
    161,497,024.69x = 125,500,304,404,381,472
  5. Step 5: Solve for x
    x = 125,500,304,404,381,472/161,497,024.69
  6. Step 6: Final answer
    x = 777,105,984.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.