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Finding the Third Proportional to 71,648,849 and 156,712,414

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Solution

The third proportional to 71,648,849 and 156,712,414 is: 342,765,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648,849 : 156,712,414 = 156,712,414 : x
  2. Step 2: Convert to fraction form
    71,648,849/156,712,414 = 156,712,414/x
  3. Step 3: Cross multiply
    71,648,849x = 156,712,414 × 156,712,414
  4. Step 4: Simplify right side
    71,648,849x = 24,558,780,701,707,396
  5. Step 5: Solve for x
    x = 24,558,780,701,707,396/71,648,849
  6. Step 6: Final answer
    x = 342,765,878.93

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Why These Related Problems?

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