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Finding the Third Proportional to 40,231.69 and 84,609.56

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Solution

The third proportional to 40,231.69 and 84,609.56 is: 177,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,231.69 : 84,609.56 = 84,609.56 : x
  2. Step 2: Convert to fraction form
    40,231.69/84,609.56 = 84,609.56/x
  3. Step 3: Cross multiply
    40,231.69x = 84,609.56 × 84,609.56
  4. Step 4: Simplify right side
    40,231.69x = 7,158,778,066.44
  5. Step 5: Solve for x
    x = 7,158,778,066.44/40,231.69
  6. Step 6: Final answer
    x = 177,938.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.