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Finding the Third Proportional to 96,327 and 206,007

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Solution

The third proportional to 96,327 and 206,007 is: 440,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,327 : 206,007 = 206,007 : x
  2. Step 2: Convert to fraction form
    96,327/206,007 = 206,007/x
  3. Step 3: Cross multiply
    96,327x = 206,007 × 206,007
  4. Step 4: Simplify right side
    96,327x = 42,438,884,049
  5. Step 5: Solve for x
    x = 42,438,884,049/96,327
  6. Step 6: Final answer
    x = 440,571.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.