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Finding the Third Proportional to 92,081.81 and 198,333.56

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Solution

The third proportional to 92,081.81 and 198,333.56 is: 427,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,081.81 : 198,333.56 = 198,333.56 : x
  2. Step 2: Convert to fraction form
    92,081.81/198,333.56 = 198,333.56/x
  3. Step 3: Cross multiply
    92,081.81x = 198,333.56 × 198,333.56
  4. Step 4: Simplify right side
    92,081.81x = 39,336,202,013.94
  5. Step 5: Solve for x
    x = 39,336,202,013.94/92,081.81
  6. Step 6: Final answer
    x = 427,187.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.