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Finding the Third Proportional to 46.44 and 101.29

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Solution

The third proportional to 46.44 and 101.29 is: 220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.44 : 101.29 = 101.29 : x
  2. Step 2: Convert to fraction form
    46.44/101.29 = 101.29/x
  3. Step 3: Cross multiply
    46.44x = 101.29 × 101.29
  4. Step 4: Simplify right side
    46.44x = 10,258.68
  5. Step 5: Solve for x
    x = 10,258.68/46.44
  6. Step 6: Final answer
    x = 220.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.