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Finding the Third Proportional to 97.99 and 190.92

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Solution

The third proportional to 97.99 and 190.92 is: 371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.99 : 190.92 = 190.92 : x
  2. Step 2: Convert to fraction form
    97.99/190.92 = 190.92/x
  3. Step 3: Cross multiply
    97.99x = 190.92 × 190.92
  4. Step 4: Simplify right side
    97.99x = 36,451.16
  5. Step 5: Solve for x
    x = 36,451.16/97.99
  6. Step 6: Final answer
    x = 371.98

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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.