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Finding the Third Proportional to 95,203 and 206,795

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Solution

The third proportional to 95,203 and 206,795 is: 449,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,203 : 206,795 = 206,795 : x
  2. Step 2: Convert to fraction form
    95,203/206,795 = 206,795/x
  3. Step 3: Cross multiply
    95,203x = 206,795 × 206,795
  4. Step 4: Simplify right side
    95,203x = 42,764,172,025
  5. Step 5: Solve for x
    x = 42,764,172,025/95,203
  6. Step 6: Final answer
    x = 449,189.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.