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Finding the Third Proportional to 96,617 and 206,501

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Solution

The third proportional to 96,617 and 206,501 is: 441,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,617 : 206,501 = 206,501 : x
  2. Step 2: Convert to fraction form
    96,617/206,501 = 206,501/x
  3. Step 3: Cross multiply
    96,617x = 206,501 × 206,501
  4. Step 4: Simplify right side
    96,617x = 42,642,663,001
  5. Step 5: Solve for x
    x = 42,642,663,001/96,617
  6. Step 6: Final answer
    x = 441,357.76

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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.