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Finding the Third Proportional to 107,929.13 and 231,716.25

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Solution

The third proportional to 107,929.13 and 231,716.25 is: 497,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,929.13 : 231,716.25 = 231,716.25 : x
  2. Step 2: Convert to fraction form
    107,929.13/231,716.25 = 231,716.25/x
  3. Step 3: Cross multiply
    107,929.13x = 231,716.25 × 231,716.25
  4. Step 4: Simplify right side
    107,929.13x = 53,692,420,514.06
  5. Step 5: Solve for x
    x = 53,692,420,514.06/107,929.13
  6. Step 6: Final answer
    x = 497,478.51

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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.