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Finding the Third Proportional to 41,770.69 and 91,808.44

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Solution

The third proportional to 41,770.69 and 91,808.44 is: 201,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,770.69 : 91,808.44 = 91,808.44 : x
  2. Step 2: Convert to fraction form
    41,770.69/91,808.44 = 91,808.44/x
  3. Step 3: Cross multiply
    41,770.69x = 91,808.44 × 91,808.44
  4. Step 4: Simplify right side
    41,770.69x = 8,428,789,196.19
  5. Step 5: Solve for x
    x = 8,428,789,196.19/41,770.69
  6. Step 6: Final answer
    x = 201,787.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.