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Finding the Third Proportional to 49,951.13 and 107,011.13

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Solution

The third proportional to 49,951.13 and 107,011.13 is: 229,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951.13 : 107,011.13 = 107,011.13 : x
  2. Step 2: Convert to fraction form
    49,951.13/107,011.13 = 107,011.13/x
  3. Step 3: Cross multiply
    49,951.13x = 107,011.13 × 107,011.13
  4. Step 4: Simplify right side
    49,951.13x = 11,451,380,873.77
  5. Step 5: Solve for x
    x = 11,451,380,873.77/49,951.13
  6. Step 6: Final answer
    x = 229,251.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.