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Finding the Third Proportional to 41.91 and 90.98

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Solution

The third proportional to 41.91 and 90.98 is: 197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.91 : 90.98 = 90.98 : x
  2. Step 2: Convert to fraction form
    41.91/90.98 = 90.98/x
  3. Step 3: Cross multiply
    41.91x = 90.98 × 90.98
  4. Step 4: Simplify right side
    41.91x = 8,278.16
  5. Step 5: Solve for x
    x = 8,278.16/41.91
  6. Step 6: Final answer
    x = 197.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.