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Finding the Third Proportional to 45.42 and 96.68

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Solution

The third proportional to 45.42 and 96.68 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 96.68 = 96.68 : x
  2. Step 2: Convert to fraction form
    45.42/96.68 = 96.68/x
  3. Step 3: Cross multiply
    45.42x = 96.68 × 96.68
  4. Step 4: Simplify right side
    45.42x = 9,346.96
  5. Step 5: Solve for x
    x = 9,346.96/45.42
  6. Step 6: Final answer
    x = 205.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.