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Finding the Third Proportional to 40,040.89 and 85,959.35

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Solution

The third proportional to 40,040.89 and 85,959.35 is: 184,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,040.89 : 85,959.35 = 85,959.35 : x
  2. Step 2: Convert to fraction form
    40,040.89/85,959.35 = 85,959.35/x
  3. Step 3: Cross multiply
    40,040.89x = 85,959.35 × 85,959.35
  4. Step 4: Simplify right side
    40,040.89x = 7,389,010,121.04
  5. Step 5: Solve for x
    x = 7,389,010,121.04/40,040.89
  6. Step 6: Final answer
    x = 184,536.59

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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.