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Finding the Third Proportional to 41,885.44 and 91,301.06

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Solution

The third proportional to 41,885.44 and 91,301.06 is: 199,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,885.44 : 91,301.06 = 91,301.06 : x
  2. Step 2: Convert to fraction form
    41,885.44/91,301.06 = 91,301.06/x
  3. Step 3: Cross multiply
    41,885.44x = 91,301.06 × 91,301.06
  4. Step 4: Simplify right side
    41,885.44x = 8,335,884,013.63
  5. Step 5: Solve for x
    x = 8,335,884,013.63/41,885.44
  6. Step 6: Final answer
    x = 199,016.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.