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Finding the Third Proportional to 88,140.66 and 180,974.25

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Solution

The third proportional to 88,140.66 and 180,974.25 is: 371,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,140.66 : 180,974.25 = 180,974.25 : x
  2. Step 2: Convert to fraction form
    88,140.66/180,974.25 = 180,974.25/x
  3. Step 3: Cross multiply
    88,140.66x = 180,974.25 × 180,974.25
  4. Step 4: Simplify right side
    88,140.66x = 32,751,679,163.06
  5. Step 5: Solve for x
    x = 32,751,679,163.06/88,140.66
  6. Step 6: Final answer
    x = 371,584.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.