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Finding the Third Proportional to 97.45 and 202.92

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Solution

The third proportional to 97.45 and 202.92 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 202.92 = 202.92 : x
  2. Step 2: Convert to fraction form
    97.45/202.92 = 202.92/x
  3. Step 3: Cross multiply
    97.45x = 202.92 × 202.92
  4. Step 4: Simplify right side
    97.45x = 41,177.29
  5. Step 5: Solve for x
    x = 41,177.29/97.45
  6. Step 6: Final answer
    x = 422.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.