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Finding the Third Proportional to 107,073.75 and 229,314

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Solution

The third proportional to 107,073.75 and 229,314 is: 491,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,073.75 : 229,314 = 229,314 : x
  2. Step 2: Convert to fraction form
    107,073.75/229,314 = 229,314/x
  3. Step 3: Cross multiply
    107,073.75x = 229,314 × 229,314
  4. Step 4: Simplify right side
    107,073.75x = 52,584,910,596
  5. Step 5: Solve for x
    x = 52,584,910,596/107,073.75
  6. Step 6: Final answer
    x = 491,109.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.