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Finding the Third Proportional to 49,951.69 and 107,519.91

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Solution

The third proportional to 49,951.69 and 107,519.91 is: 231,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951.69 : 107,519.91 = 107,519.91 : x
  2. Step 2: Convert to fraction form
    49,951.69/107,519.91 = 107,519.91/x
  3. Step 3: Cross multiply
    49,951.69x = 107,519.91 × 107,519.91
  4. Step 4: Simplify right side
    49,951.69x = 11,560,530,240.01
  5. Step 5: Solve for x
    x = 11,560,530,240.01/49,951.69
  6. Step 6: Final answer
    x = 231,434.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.