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Finding the Third Proportional to 92.11 and 200.04

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Solution

The third proportional to 92.11 and 200.04 is: 434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.11 : 200.04 = 200.04 : x
  2. Step 2: Convert to fraction form
    92.11/200.04 = 200.04/x
  3. Step 3: Cross multiply
    92.11x = 200.04 × 200.04
  4. Step 4: Simplify right side
    92.11x = 40,015.63
  5. Step 5: Solve for x
    x = 40,015.63/92.11
  6. Step 6: Final answer
    x = 434.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.