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Finding the Third Proportional to 48.44 and 101.88

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Solution

The third proportional to 48.44 and 101.88 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.44 : 101.88 = 101.88 : x
  2. Step 2: Convert to fraction form
    48.44/101.88 = 101.88/x
  3. Step 3: Cross multiply
    48.44x = 101.88 × 101.88
  4. Step 4: Simplify right side
    48.44x = 10,378.52
  5. Step 5: Solve for x
    x = 10,378.52/48.44
  6. Step 6: Final answer
    x = 214.27

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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.