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Finding the Third Proportional to 97.45 and 211.78

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Solution

The third proportional to 97.45 and 211.78 is: 460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 211.78 = 211.78 : x
  2. Step 2: Convert to fraction form
    97.45/211.78 = 211.78/x
  3. Step 3: Cross multiply
    97.45x = 211.78 × 211.78
  4. Step 4: Simplify right side
    97.45x = 44,851.30
  5. Step 5: Solve for x
    x = 44,851.30/97.45
  6. Step 6: Final answer
    x = 460.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.