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Finding the Third Proportional to 49,414.88 and 105,799.88

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Solution

The third proportional to 49,414.88 and 105,799.88 is: 226,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,414.88 : 105,799.88 = 105,799.88 : x
  2. Step 2: Convert to fraction form
    49,414.88/105,799.88 = 105,799.88/x
  3. Step 3: Cross multiply
    49,414.88x = 105,799.88 × 105,799.88
  4. Step 4: Simplify right side
    49,414.88x = 11,193,613,550.02
  5. Step 5: Solve for x
    x = 11,193,613,550.02/49,414.88
  6. Step 6: Final answer
    x = 226,523.16

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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.