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Finding the Third Proportional to 98.72 and 220.22

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Solution

The third proportional to 98.72 and 220.22 is: 491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.72 : 220.22 = 220.22 : x
  2. Step 2: Convert to fraction form
    98.72/220.22 = 220.22/x
  3. Step 3: Cross multiply
    98.72x = 220.22 × 220.22
  4. Step 4: Simplify right side
    98.72x = 48,496.30
  5. Step 5: Solve for x
    x = 48,496.30/98.72
  6. Step 6: Final answer
    x = 491.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.