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Finding the Third Proportional to 96,493 and 209,491

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Solution

The third proportional to 96,493 and 209,491 is: 454,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,493 : 209,491 = 209,491 : x
  2. Step 2: Convert to fraction form
    96,493/209,491 = 209,491/x
  3. Step 3: Cross multiply
    96,493x = 209,491 × 209,491
  4. Step 4: Simplify right side
    96,493x = 43,886,479,081
  5. Step 5: Solve for x
    x = 43,886,479,081/96,493
  6. Step 6: Final answer
    x = 454,815.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.