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Finding the Third Proportional to 92,667.80 and 202,327.73

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Solution

The third proportional to 92,667.80 and 202,327.73 is: 441,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,667.80 : 202,327.73 = 202,327.73 : x
  2. Step 2: Convert to fraction form
    92,667.80/202,327.73 = 202,327.73/x
  3. Step 3: Cross multiply
    92,667.80x = 202,327.73 × 202,327.73
  4. Step 4: Simplify right side
    92,667.80x = 40,936,512,097.32
  5. Step 5: Solve for x
    x = 40,936,512,097.32/92,667.80
  6. Step 6: Final answer
    x = 441,755.53

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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.