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Finding the Third Proportional to 107,747.13 and 234,379.55

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Solution

The third proportional to 107,747.13 and 234,379.55 is: 509,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,747.13 : 234,379.55 = 234,379.55 : x
  2. Step 2: Convert to fraction form
    107,747.13/234,379.55 = 234,379.55/x
  3. Step 3: Cross multiply
    107,747.13x = 234,379.55 × 234,379.55
  4. Step 4: Simplify right side
    107,747.13x = 54,933,774,053.32
  5. Step 5: Solve for x
    x = 54,933,774,053.32/107,747.13
  6. Step 6: Final answer
    x = 509,839.81

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Why These Related Problems?

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