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Finding the Third Proportional to 71,659,831 and 156,732,253

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Solution

The third proportional to 71,659,831 and 156,732,253 is: 342,800,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659,831 : 156,732,253 = 156,732,253 : x
  2. Step 2: Convert to fraction form
    71,659,831/156,732,253 = 156,732,253/x
  3. Step 3: Cross multiply
    71,659,831x = 156,732,253 × 156,732,253
  4. Step 4: Simplify right side
    71,659,831x = 24,564,999,130,456,008
  5. Step 5: Solve for x
    x = 24,564,999,130,456,008/71,659,831
  6. Step 6: Final answer
    x = 342,800,126.48

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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.