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Finding the Third Proportional to 96,598 and 207,479

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Solution

The third proportional to 96,598 and 207,479 is: 445,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,598 : 207,479 = 207,479 : x
  2. Step 2: Convert to fraction form
    96,598/207,479 = 207,479/x
  3. Step 3: Cross multiply
    96,598x = 207,479 × 207,479
  4. Step 4: Simplify right side
    96,598x = 43,047,535,441
  5. Step 5: Solve for x
    x = 43,047,535,441/96,598
  6. Step 6: Final answer
    x = 445,635.89

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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.