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Finding the Third Proportional to 34,766.06 and 80,878.13

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Solution

The third proportional to 34,766.06 and 80,878.13 is: 188,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.06 : 80,878.13 = 80,878.13 : x
  2. Step 2: Convert to fraction form
    34,766.06/80,878.13 = 80,878.13/x
  3. Step 3: Cross multiply
    34,766.06x = 80,878.13 × 80,878.13
  4. Step 4: Simplify right side
    34,766.06x = 6,541,271,103.52
  5. Step 5: Solve for x
    x = 6,541,271,103.52/34,766.06
  6. Step 6: Final answer
    x = 188,151.05

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.