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Finding the Third Proportional to 96,382 and 199,467

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Solution

The third proportional to 96,382 and 199,467 is: 412,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,382 : 199,467 = 199,467 : x
  2. Step 2: Convert to fraction form
    96,382/199,467 = 199,467/x
  3. Step 3: Cross multiply
    96,382x = 199,467 × 199,467
  4. Step 4: Simplify right side
    96,382x = 39,787,084,089
  5. Step 5: Solve for x
    x = 39,787,084,089/96,382
  6. Step 6: Final answer
    x = 412,806.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.