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Finding the Third Proportional to 95,204 and 209,095

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Solution

The third proportional to 95,204 and 209,095 is: 459,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,204 : 209,095 = 209,095 : x
  2. Step 2: Convert to fraction form
    95,204/209,095 = 209,095/x
  3. Step 3: Cross multiply
    95,204x = 209,095 × 209,095
  4. Step 4: Simplify right side
    95,204x = 43,720,719,025
  5. Step 5: Solve for x
    x = 43,720,719,025/95,204
  6. Step 6: Final answer
    x = 459,231.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.