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Finding the Third Proportional to 71,301,721.50 and 156,221,613.56

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Solution

The third proportional to 71,301,721.50 and 156,221,613.56 is: 342,280,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301,721.50 : 156,221,613.56 = 156,221,613.56 : x
  2. Step 2: Convert to fraction form
    71,301,721.50/156,221,613.56 = 156,221,613.56/x
  3. Step 3: Cross multiply
    71,301,721.50x = 156,221,613.56 × 156,221,613.56
  4. Step 4: Simplify right side
    71,301,721.50x = 24,405,192,544,071,084
  5. Step 5: Solve for x
    x = 24,405,192,544,071,084/71,301,721.50
  6. Step 6: Final answer
    x = 342,280,551.31

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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.