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Finding the Third Proportional to 49,744.13 and 107,821.13

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Solution

The third proportional to 49,744.13 and 107,821.13 is: 233,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744.13 : 107,821.13 = 107,821.13 : x
  2. Step 2: Convert to fraction form
    49,744.13/107,821.13 = 107,821.13/x
  3. Step 3: Cross multiply
    49,744.13x = 107,821.13 × 107,821.13
  4. Step 4: Simplify right side
    49,744.13x = 11,625,394,996.27
  5. Step 5: Solve for x
    x = 11,625,394,996.27/49,744.13
  6. Step 6: Final answer
    x = 233,703.88

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Why These Related Problems?

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