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Finding the Third Proportional to 44.23 and 96.96

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Solution

The third proportional to 44.23 and 96.96 is: 212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.23 : 96.96 = 96.96 : x
  2. Step 2: Convert to fraction form
    44.23/96.96 = 96.96/x
  3. Step 3: Cross multiply
    44.23x = 96.96 × 96.96
  4. Step 4: Simplify right side
    44.23x = 9,401.42
  5. Step 5: Solve for x
    x = 9,401.42/44.23
  6. Step 6: Final answer
    x = 212.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.