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Finding the Third Proportional to 107,398.41 and 231,396.75

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Solution

The third proportional to 107,398.41 and 231,396.75 is: 498,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,398.41 : 231,396.75 = 231,396.75 : x
  2. Step 2: Convert to fraction form
    107,398.41/231,396.75 = 231,396.75/x
  3. Step 3: Cross multiply
    107,398.41x = 231,396.75 × 231,396.75
  4. Step 4: Simplify right side
    107,398.41x = 53,544,455,910.56
  5. Step 5: Solve for x
    x = 53,544,455,910.56/107,398.41
  6. Step 6: Final answer
    x = 498,559.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.