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Finding the Third Proportional to 49.08 and 104.44

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Solution

The third proportional to 49.08 and 104.44 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.08 : 104.44 = 104.44 : x
  2. Step 2: Convert to fraction form
    49.08/104.44 = 104.44/x
  3. Step 3: Cross multiply
    49.08x = 104.44 × 104.44
  4. Step 4: Simplify right side
    49.08x = 10,907.19
  5. Step 5: Solve for x
    x = 10,907.19/49.08
  6. Step 6: Final answer
    x = 222.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.