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Finding the Third Proportional to 102,092,940 and 156,923,460

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Solution

The third proportional to 102,092,940 and 156,923,460 is: 241,201,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092,940 : 156,923,460 = 156,923,460 : x
  2. Step 2: Convert to fraction form
    102,092,940/156,923,460 = 156,923,460/x
  3. Step 3: Cross multiply
    102,092,940x = 156,923,460 × 156,923,460
  4. Step 4: Simplify right side
    102,092,940x = 24,624,972,298,371,600
  5. Step 5: Solve for x
    x = 24,624,972,298,371,600/102,092,940
  6. Step 6: Final answer
    x = 241,201,519.89

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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.