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Finding the Third Proportional to 96,802 and 207,617

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Solution

The third proportional to 96,802 and 207,617 is: 445,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,802 : 207,617 = 207,617 : x
  2. Step 2: Convert to fraction form
    96,802/207,617 = 207,617/x
  3. Step 3: Cross multiply
    96,802x = 207,617 × 207,617
  4. Step 4: Simplify right side
    96,802x = 43,104,818,689
  5. Step 5: Solve for x
    x = 43,104,818,689/96,802
  6. Step 6: Final answer
    x = 445,288.51

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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.