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Finding the Third Proportional to 102,092,915 and 156,923,436

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Solution

The third proportional to 102,092,915 and 156,923,436 is: 241,201,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092,915 : 156,923,436 = 156,923,436 : x
  2. Step 2: Convert to fraction form
    102,092,915/156,923,436 = 156,923,436/x
  3. Step 3: Cross multiply
    102,092,915x = 156,923,436 × 156,923,436
  4. Step 4: Simplify right side
    102,092,915x = 24,624,964,766,046,096
  5. Step 5: Solve for x
    x = 24,624,964,766,046,096/102,092,915
  6. Step 6: Final answer
    x = 241,201,505.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.