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Finding the Third Proportional to 96,112 and 206,431

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Solution

The third proportional to 96,112 and 206,431 is: 443,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,112 : 206,431 = 206,431 : x
  2. Step 2: Convert to fraction form
    96,112/206,431 = 206,431/x
  3. Step 3: Cross multiply
    96,112x = 206,431 × 206,431
  4. Step 4: Simplify right side
    96,112x = 42,613,757,761
  5. Step 5: Solve for x
    x = 42,613,757,761/96,112
  6. Step 6: Final answer
    x = 443,376.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.