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Finding the Third Proportional to 96,496 and 209,494

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Solution

The third proportional to 96,496 and 209,494 is: 454,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,496 : 209,494 = 209,494 : x
  2. Step 2: Convert to fraction form
    96,496/209,494 = 209,494/x
  3. Step 3: Cross multiply
    96,496x = 209,494 × 209,494
  4. Step 4: Simplify right side
    96,496x = 43,887,736,036
  5. Step 5: Solve for x
    x = 43,887,736,036/96,496
  6. Step 6: Final answer
    x = 454,814.04

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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.