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Finding the Third Proportional to 43,891.88 and 97,610.06

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Solution

The third proportional to 43,891.88 and 97,610.06 is: 217,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,891.88 : 97,610.06 = 97,610.06 : x
  2. Step 2: Convert to fraction form
    43,891.88/97,610.06 = 97,610.06/x
  3. Step 3: Cross multiply
    43,891.88x = 97,610.06 × 97,610.06
  4. Step 4: Simplify right side
    43,891.88x = 9,527,724,301.25
  5. Step 5: Solve for x
    x = 9,527,724,301.25/43,891.88
  6. Step 6: Final answer
    x = 217,072.62

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.