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Finding the Third Proportional to 97.88 and 213.47

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Solution

The third proportional to 97.88 and 213.47 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 213.47 = 213.47 : x
  2. Step 2: Convert to fraction form
    97.88/213.47 = 213.47/x
  3. Step 3: Cross multiply
    97.88x = 213.47 × 213.47
  4. Step 4: Simplify right side
    97.88x = 45,568.91
  5. Step 5: Solve for x
    x = 45,568.91/97.88
  6. Step 6: Final answer
    x = 465.58

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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.