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Finding the Third Proportional to 95,686 and 206,682

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Solution

The third proportional to 95,686 and 206,682 is: 446,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,686 : 206,682 = 206,682 : x
  2. Step 2: Convert to fraction form
    95,686/206,682 = 206,682/x
  3. Step 3: Cross multiply
    95,686x = 206,682 × 206,682
  4. Step 4: Simplify right side
    95,686x = 42,717,449,124
  5. Step 5: Solve for x
    x = 42,717,449,124/95,686
  6. Step 6: Final answer
    x = 446,433.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.