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Finding the Third Proportional to 41,940.28 and 83,842.59

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Solution

The third proportional to 41,940.28 and 83,842.59 is: 167,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,940.28 : 83,842.59 = 83,842.59 : x
  2. Step 2: Convert to fraction form
    41,940.28/83,842.59 = 83,842.59/x
  3. Step 3: Cross multiply
    41,940.28x = 83,842.59 × 83,842.59
  4. Step 4: Simplify right side
    41,940.28x = 7,029,580,526.73
  5. Step 5: Solve for x
    x = 7,029,580,526.73/41,940.28
  6. Step 6: Final answer
    x = 167,609.28

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.