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Finding the Third Proportional to 97.22 and 204.05

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Solution

The third proportional to 97.22 and 204.05 is: 428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.22 : 204.05 = 204.05 : x
  2. Step 2: Convert to fraction form
    97.22/204.05 = 204.05/x
  3. Step 3: Cross multiply
    97.22x = 204.05 × 204.05
  4. Step 4: Simplify right side
    97.22x = 41,635.13
  5. Step 5: Solve for x
    x = 41,635.13/97.22
  6. Step 6: Final answer
    x = 428.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.