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Finding the Third Proportional to 97.13 and 189

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Solution

The third proportional to 97.13 and 189 is: 367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.13 : 189 = 189 : x
  2. Step 2: Convert to fraction form
    97.13/189 = 189/x
  3. Step 3: Cross multiply
    97.13x = 189 × 189
  4. Step 4: Simplify right side
    97.13x = 35,721
  5. Step 5: Solve for x
    x = 35,721/97.13
  6. Step 6: Final answer
    x = 367.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.