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Finding the Third Proportional to 95,836.50 and 148,819.13

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Solution

The third proportional to 95,836.50 and 148,819.13 is: 231,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,836.50 : 148,819.13 = 148,819.13 : x
  2. Step 2: Convert to fraction form
    95,836.50/148,819.13 = 148,819.13/x
  3. Step 3: Cross multiply
    95,836.50x = 148,819.13 × 148,819.13
  4. Step 4: Simplify right side
    95,836.50x = 22,147,131,965.77
  5. Step 5: Solve for x
    x = 22,147,131,965.77/95,836.50
  6. Step 6: Final answer
    x = 231,092.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.