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Finding the Third Proportional to 71,648,663.25 and 107,360,487.75

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Solution

The third proportional to 71,648,663.25 and 107,360,487.75 is: 160,872,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648,663.25 : 107,360,487.75 = 107,360,487.75 : x
  2. Step 2: Convert to fraction form
    71,648,663.25/107,360,487.75 = 107,360,487.75/x
  3. Step 3: Cross multiply
    71,648,663.25x = 107,360,487.75 × 107,360,487.75
  4. Step 4: Simplify right side
    71,648,663.25x = 11,526,274,329,917,900
  5. Step 5: Solve for x
    x = 11,526,274,329,917,900/71,648,663.25
  6. Step 6: Final answer
    x = 160,872,147.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.