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Finding the Third Proportional to 80,827.88 and 173,813.34

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Solution

The third proportional to 80,827.88 and 173,813.34 is: 373,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,827.88 : 173,813.34 = 173,813.34 : x
  2. Step 2: Convert to fraction form
    80,827.88/173,813.34 = 173,813.34/x
  3. Step 3: Cross multiply
    80,827.88x = 173,813.34 × 173,813.34
  4. Step 4: Simplify right side
    80,827.88x = 30,211,078,465.56
  5. Step 5: Solve for x
    x = 30,211,078,465.56/80,827.88
  6. Step 6: Final answer
    x = 373,770.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.