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Finding the Third Proportional to 106,542.56 and 229,690.13

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Solution

The third proportional to 106,542.56 and 229,690.13 is: 495,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542.56 : 229,690.13 = 229,690.13 : x
  2. Step 2: Convert to fraction form
    106,542.56/229,690.13 = 229,690.13/x
  3. Step 3: Cross multiply
    106,542.56x = 229,690.13 × 229,690.13
  4. Step 4: Simplify right side
    106,542.56x = 52,757,553,522.52
  5. Step 5: Solve for x
    x = 52,757,553,522.52/106,542.56
  6. Step 6: Final answer
    x = 495,178.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.