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Finding the Third Proportional to 43.22 and 101.48

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Solution

The third proportional to 43.22 and 101.48 is: 238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.22 : 101.48 = 101.48 : x
  2. Step 2: Convert to fraction form
    43.22/101.48 = 101.48/x
  3. Step 3: Cross multiply
    43.22x = 101.48 × 101.48
  4. Step 4: Simplify right side
    43.22x = 10,299.08
  5. Step 5: Solve for x
    x = 10,299.08/43.22
  6. Step 6: Final answer
    x = 238.30

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.