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Finding the Third Proportional to 96.88 and 201.69

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Solution

The third proportional to 96.88 and 201.69 is: 419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.88 : 201.69 = 201.69 : x
  2. Step 2: Convert to fraction form
    96.88/201.69 = 201.69/x
  3. Step 3: Cross multiply
    96.88x = 201.69 × 201.69
  4. Step 4: Simplify right side
    96.88x = 40,677.85
  5. Step 5: Solve for x
    x = 40,677.85/96.88
  6. Step 6: Final answer
    x = 419.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.