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Finding the Third Proportional to 88,418.25 and 180,921.75

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Solution

The third proportional to 88,418.25 and 180,921.75 is: 370,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,418.25 : 180,921.75 = 180,921.75 : x
  2. Step 2: Convert to fraction form
    88,418.25/180,921.75 = 180,921.75/x
  3. Step 3: Cross multiply
    88,418.25x = 180,921.75 × 180,921.75
  4. Step 4: Simplify right side
    88,418.25x = 32,732,679,623.06
  5. Step 5: Solve for x
    x = 32,732,679,623.06/88,418.25
  6. Step 6: Final answer
    x = 370,202.75

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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.