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Finding the Third Proportional to 49,637.25 and 108,198

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Solution

The third proportional to 49,637.25 and 108,198 is: 235,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,637.25 : 108,198 = 108,198 : x
  2. Step 2: Convert to fraction form
    49,637.25/108,198 = 108,198/x
  3. Step 3: Cross multiply
    49,637.25x = 108,198 × 108,198
  4. Step 4: Simplify right side
    49,637.25x = 11,706,807,204
  5. Step 5: Solve for x
    x = 11,706,807,204/49,637.25
  6. Step 6: Final answer
    x = 235,847.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.