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Finding the Third Proportional to 49,662.56 and 107,791.31

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Solution

The third proportional to 49,662.56 and 107,791.31 is: 233,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,662.56 : 107,791.31 = 107,791.31 : x
  2. Step 2: Convert to fraction form
    49,662.56/107,791.31 = 107,791.31/x
  3. Step 3: Cross multiply
    49,662.56x = 107,791.31 × 107,791.31
  4. Step 4: Simplify right side
    49,662.56x = 11,618,967,050.47
  5. Step 5: Solve for x
    x = 11,618,967,050.47/49,662.56
  6. Step 6: Final answer
    x = 233,958.27

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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.