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Finding the Third Proportional to 48.44 and 100.84

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Solution

The third proportional to 48.44 and 100.84 is: 209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.44 : 100.84 = 100.84 : x
  2. Step 2: Convert to fraction form
    48.44/100.84 = 100.84/x
  3. Step 3: Cross multiply
    48.44x = 100.84 × 100.84
  4. Step 4: Simplify right side
    48.44x = 10,169.46
  5. Step 5: Solve for x
    x = 10,169.46/48.44
  6. Step 6: Final answer
    x = 209.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.