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Finding the Third Proportional to 92.81 and 202.92

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Solution

The third proportional to 92.81 and 202.92 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 202.92 = 202.92 : x
  2. Step 2: Convert to fraction form
    92.81/202.92 = 202.92/x
  3. Step 3: Cross multiply
    92.81x = 202.92 × 202.92
  4. Step 4: Simplify right side
    92.81x = 41,177.29
  5. Step 5: Solve for x
    x = 41,177.29/92.81
  6. Step 6: Final answer
    x = 443.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.