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Finding the Third Proportional to 92.87 and 200.92

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Solution

The third proportional to 92.87 and 200.92 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.87 : 200.92 = 200.92 : x
  2. Step 2: Convert to fraction form
    92.87/200.92 = 200.92/x
  3. Step 3: Cross multiply
    92.87x = 200.92 × 200.92
  4. Step 4: Simplify right side
    92.87x = 40,368.03
  5. Step 5: Solve for x
    x = 40,368.03/92.87
  6. Step 6: Final answer
    x = 434.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.