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Finding the Third Proportional to 84,408.50 and 180,116.75

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Solution

The third proportional to 84,408.50 and 180,116.75 is: 384,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,408.50 : 180,116.75 = 180,116.75 : x
  2. Step 2: Convert to fraction form
    84,408.50/180,116.75 = 180,116.75/x
  3. Step 3: Cross multiply
    84,408.50x = 180,116.75 × 180,116.75
  4. Step 4: Simplify right side
    84,408.50x = 32,442,043,630.56
  5. Step 5: Solve for x
    x = 32,442,043,630.56/84,408.50
  6. Step 6: Final answer
    x = 384,345.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.