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Finding the Third Proportional to 96.38 and 201.88

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Solution

The third proportional to 96.38 and 201.88 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.38 : 201.88 = 201.88 : x
  2. Step 2: Convert to fraction form
    96.38/201.88 = 201.88/x
  3. Step 3: Cross multiply
    96.38x = 201.88 × 201.88
  4. Step 4: Simplify right side
    96.38x = 40,753.52
  5. Step 5: Solve for x
    x = 40,753.52/96.38
  6. Step 6: Final answer
    x = 422.86

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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.