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Finding the Third Proportional to 92,722 and 200,226

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Solution

The third proportional to 92,722 and 200,226 is: 432,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,722 : 200,226 = 200,226 : x
  2. Step 2: Convert to fraction form
    92,722/200,226 = 200,226/x
  3. Step 3: Cross multiply
    92,722x = 200,226 × 200,226
  4. Step 4: Simplify right side
    92,722x = 40,090,451,076
  5. Step 5: Solve for x
    x = 40,090,451,076/92,722
  6. Step 6: Final answer
    x = 432,372.59

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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.