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Finding the Third Proportional to 92.87 and 196.44

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Solution

The third proportional to 92.87 and 196.44 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.87 : 196.44 = 196.44 : x
  2. Step 2: Convert to fraction form
    92.87/196.44 = 196.44/x
  3. Step 3: Cross multiply
    92.87x = 196.44 × 196.44
  4. Step 4: Simplify right side
    92.87x = 38,586.92
  5. Step 5: Solve for x
    x = 38,586.92/92.87
  6. Step 6: Final answer
    x = 415.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.