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Finding the Third Proportional to 57,218.14 and 108,294.94

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Solution

The third proportional to 57,218.14 and 108,294.94 is: 204,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.14 : 108,294.94 = 108,294.94 : x
  2. Step 2: Convert to fraction form
    57,218.14/108,294.94 = 108,294.94/x
  3. Step 3: Cross multiply
    57,218.14x = 108,294.94 × 108,294.94
  4. Step 4: Simplify right side
    57,218.14x = 11,727,794,757.21
  5. Step 5: Solve for x
    x = 11,727,794,757.21/57,218.14
  6. Step 6: Final answer
    x = 204,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.