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Finding the Third Proportional to 92,193 and 203,799

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Solution

The third proportional to 92,193 and 203,799 is: 450,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,193 : 203,799 = 203,799 : x
  2. Step 2: Convert to fraction form
    92,193/203,799 = 203,799/x
  3. Step 3: Cross multiply
    92,193x = 203,799 × 203,799
  4. Step 4: Simplify right side
    92,193x = 41,534,032,401
  5. Step 5: Solve for x
    x = 41,534,032,401/92,193
  6. Step 6: Final answer
    x = 450,511.78

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.