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Finding the Third Proportional to 96,012 and 209,496

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Solution

The third proportional to 96,012 and 209,496 is: 457,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,012 : 209,496 = 209,496 : x
  2. Step 2: Convert to fraction form
    96,012/209,496 = 209,496/x
  3. Step 3: Cross multiply
    96,012x = 209,496 × 209,496
  4. Step 4: Simplify right side
    96,012x = 43,888,574,016
  5. Step 5: Solve for x
    x = 43,888,574,016/96,012
  6. Step 6: Final answer
    x = 457,115.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.