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Finding the Third Proportional to 102,092,948 and 156,923,472

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Solution

The third proportional to 102,092,948 and 156,923,472 is: 241,201,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092,948 : 156,923,472 = 156,923,472 : x
  2. Step 2: Convert to fraction form
    102,092,948/156,923,472 = 156,923,472/x
  3. Step 3: Cross multiply
    102,092,948x = 156,923,472 × 156,923,472
  4. Step 4: Simplify right side
    102,092,948x = 24,624,976,064,534,784
  5. Step 5: Solve for x
    x = 24,624,976,064,534,784/102,092,948
  6. Step 6: Final answer
    x = 241,201,537.88

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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.