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Finding the Third Proportional to 94.44 and 198.44

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Solution

The third proportional to 94.44 and 198.44 is: 416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.44 : 198.44 = 198.44 : x
  2. Step 2: Convert to fraction form
    94.44/198.44 = 198.44/x
  3. Step 3: Cross multiply
    94.44x = 198.44 × 198.44
  4. Step 4: Simplify right side
    94.44x = 39,377.44
  5. Step 5: Solve for x
    x = 39,377.44/94.44
  6. Step 6: Final answer
    x = 416.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.