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Finding the Third Proportional to 95,066 and 206,686

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Solution

The third proportional to 95,066 and 206,686 is: 449,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,066 : 206,686 = 206,686 : x
  2. Step 2: Convert to fraction form
    95,066/206,686 = 206,686/x
  3. Step 3: Cross multiply
    95,066x = 206,686 × 206,686
  4. Step 4: Simplify right side
    95,066x = 42,719,102,596
  5. Step 5: Solve for x
    x = 42,719,102,596/95,066
  6. Step 6: Final answer
    x = 449,362.58

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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.