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Finding the Third Proportional to 96,578 and 201,976

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Solution

The third proportional to 96,578 and 201,976 is: 422,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578 : 201,976 = 201,976 : x
  2. Step 2: Convert to fraction form
    96,578/201,976 = 201,976/x
  3. Step 3: Cross multiply
    96,578x = 201,976 × 201,976
  4. Step 4: Simplify right side
    96,578x = 40,794,304,576
  5. Step 5: Solve for x
    x = 40,794,304,576/96,578
  6. Step 6: Final answer
    x = 422,397.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.