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Finding the Third Proportional to 95,232 and 206,868

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Solution

The third proportional to 95,232 and 206,868 is: 449,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,232 : 206,868 = 206,868 : x
  2. Step 2: Convert to fraction form
    95,232/206,868 = 206,868/x
  3. Step 3: Cross multiply
    95,232x = 206,868 × 206,868
  4. Step 4: Simplify right side
    95,232x = 42,794,369,424
  5. Step 5: Solve for x
    x = 42,794,369,424/95,232
  6. Step 6: Final answer
    x = 449,369.64

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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.