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Finding the Third Proportional to 92.44 and 219.81

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Solution

The third proportional to 92.44 and 219.81 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.44 : 219.81 = 219.81 : x
  2. Step 2: Convert to fraction form
    92.44/219.81 = 219.81/x
  3. Step 3: Cross multiply
    92.44x = 219.81 × 219.81
  4. Step 4: Simplify right side
    92.44x = 48,317.54
  5. Step 5: Solve for x
    x = 48,317.54/92.44
  6. Step 6: Final answer
    x = 522.70

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.