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Finding the Third Proportional to 48.09 and 103.78

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Solution

The third proportional to 48.09 and 103.78 is: 223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.09 : 103.78 = 103.78 : x
  2. Step 2: Convert to fraction form
    48.09/103.78 = 103.78/x
  3. Step 3: Cross multiply
    48.09x = 103.78 × 103.78
  4. Step 4: Simplify right side
    48.09x = 10,770.55
  5. Step 5: Solve for x
    x = 10,770.55/48.09
  6. Step 6: Final answer
    x = 223.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.