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Finding the Third Proportional to 96.97 and 200.69

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Solution

The third proportional to 96.97 and 200.69 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.97 : 200.69 = 200.69 : x
  2. Step 2: Convert to fraction form
    96.97/200.69 = 200.69/x
  3. Step 3: Cross multiply
    96.97x = 200.69 × 200.69
  4. Step 4: Simplify right side
    96.97x = 40,275.47
  5. Step 5: Solve for x
    x = 40,275.47/96.97
  6. Step 6: Final answer
    x = 415.34

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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.