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Finding the Third Proportional to 92.16 and 201.47

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Solution

The third proportional to 92.16 and 201.47 is: 440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.16 : 201.47 = 201.47 : x
  2. Step 2: Convert to fraction form
    92.16/201.47 = 201.47/x
  3. Step 3: Cross multiply
    92.16x = 201.47 × 201.47
  4. Step 4: Simplify right side
    92.16x = 40,589.66
  5. Step 5: Solve for x
    x = 40,589.66/92.16
  6. Step 6: Final answer
    x = 440.44

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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.