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Finding the Third Proportional to 92,723 and 200,229

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Solution

The third proportional to 92,723 and 200,229 is: 432,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,723 : 200,229 = 200,229 : x
  2. Step 2: Convert to fraction form
    92,723/200,229 = 200,229/x
  3. Step 3: Cross multiply
    92,723x = 200,229 × 200,229
  4. Step 4: Simplify right side
    92,723x = 40,091,652,441
  5. Step 5: Solve for x
    x = 40,091,652,441/92,723
  6. Step 6: Final answer
    x = 432,380.88

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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.