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Finding the Third Proportional to 49,863.38 and 108,034.31

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Solution

The third proportional to 49,863.38 and 108,034.31 is: 234,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863.38 : 108,034.31 = 108,034.31 : x
  2. Step 2: Convert to fraction form
    49,863.38/108,034.31 = 108,034.31/x
  3. Step 3: Cross multiply
    49,863.38x = 108,034.31 × 108,034.31
  4. Step 4: Simplify right side
    49,863.38x = 11,671,412,677.35
  5. Step 5: Solve for x
    x = 11,671,412,677.35/49,863.38
  6. Step 6: Final answer
    x = 234,067.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.