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Finding the Third Proportional to 96.64 and 213.53

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Solution

The third proportional to 96.64 and 213.53 is: 471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 213.53 = 213.53 : x
  2. Step 2: Convert to fraction form
    96.64/213.53 = 213.53/x
  3. Step 3: Cross multiply
    96.64x = 213.53 × 213.53
  4. Step 4: Simplify right side
    96.64x = 45,595.59
  5. Step 5: Solve for x
    x = 45,595.59/96.64
  6. Step 6: Final answer
    x = 471.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.