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Finding the Third Proportional to 102,233.25 and 209,566.13

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Solution

The third proportional to 102,233.25 and 209,566.13 is: 429,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,233.25 : 209,566.13 = 209,566.13 : x
  2. Step 2: Convert to fraction form
    102,233.25/209,566.13 = 209,566.13/x
  3. Step 3: Cross multiply
    102,233.25x = 209,566.13 × 209,566.13
  4. Step 4: Simplify right side
    102,233.25x = 43,917,960,747.52
  5. Step 5: Solve for x
    x = 43,917,960,747.52/102,233.25
  6. Step 6: Final answer
    x = 429,585.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.