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Finding the Third Proportional to 98.50 and 213.88

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Solution

The third proportional to 98.50 and 213.88 is: 464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.50 : 213.88 = 213.88 : x
  2. Step 2: Convert to fraction form
    98.50/213.88 = 213.88/x
  3. Step 3: Cross multiply
    98.50x = 213.88 × 213.88
  4. Step 4: Simplify right side
    98.50x = 45,742.52
  5. Step 5: Solve for x
    x = 45,742.52/98.50
  6. Step 6: Final answer
    x = 464.39

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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.