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Finding the Third Proportional to 49.83 and 104.41

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Solution

The third proportional to 49.83 and 104.41 is: 218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.83 : 104.41 = 104.41 : x
  2. Step 2: Convert to fraction form
    49.83/104.41 = 104.41/x
  3. Step 3: Cross multiply
    49.83x = 104.41 × 104.41
  4. Step 4: Simplify right side
    49.83x = 10,902.30
  5. Step 5: Solve for x
    x = 10,902.30/49.83
  6. Step 6: Final answer
    x = 218.77

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