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Finding the Third Proportional to 71,659,829 and 156,732,249

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Solution

The third proportional to 71,659,829 and 156,732,249 is: 342,800,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659,829 : 156,732,249 = 156,732,249 : x
  2. Step 2: Convert to fraction form
    71,659,829/156,732,249 = 156,732,249/x
  3. Step 3: Cross multiply
    71,659,829x = 156,732,249 × 156,732,249
  4. Step 4: Simplify right side
    71,659,829x = 24,564,997,876,598,000
  5. Step 5: Solve for x
    x = 24,564,997,876,598,000/71,659,829
  6. Step 6: Final answer
    x = 342,800,118.55

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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.