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Finding the Third Proportional to 95,206 and 206,798

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Solution

The third proportional to 95,206 and 206,798 is: 449,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,206 : 206,798 = 206,798 : x
  2. Step 2: Convert to fraction form
    95,206/206,798 = 206,798/x
  3. Step 3: Cross multiply
    95,206x = 206,798 × 206,798
  4. Step 4: Simplify right side
    95,206x = 42,765,412,804
  5. Step 5: Solve for x
    x = 42,765,412,804/95,206
  6. Step 6: Final answer
    x = 449,188.21

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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.