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Finding the Third Proportional to 92,638 and 202,225

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Solution

The third proportional to 92,638 and 202,225 is: 441,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,638 : 202,225 = 202,225 : x
  2. Step 2: Convert to fraction form
    92,638/202,225 = 202,225/x
  3. Step 3: Cross multiply
    92,638x = 202,225 × 202,225
  4. Step 4: Simplify right side
    92,638x = 40,894,950,625
  5. Step 5: Solve for x
    x = 40,894,950,625/92,638
  6. Step 6: Final answer
    x = 441,448.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.