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Finding the Third Proportional to 96,269 and 231,922

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Solution

The third proportional to 96,269 and 231,922 is: 558,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,269 : 231,922 = 231,922 : x
  2. Step 2: Convert to fraction form
    96,269/231,922 = 231,922/x
  3. Step 3: Cross multiply
    96,269x = 231,922 × 231,922
  4. Step 4: Simplify right side
    96,269x = 53,787,814,084
  5. Step 5: Solve for x
    x = 53,787,814,084/96,269
  6. Step 6: Final answer
    x = 558,724.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.