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Finding the Third Proportional to 89,745.75 and 188,718.75

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Solution

The third proportional to 89,745.75 and 188,718.75 is: 396,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,745.75 : 188,718.75 = 188,718.75 : x
  2. Step 2: Convert to fraction form
    89,745.75/188,718.75 = 188,718.75/x
  3. Step 3: Cross multiply
    89,745.75x = 188,718.75 × 188,718.75
  4. Step 4: Simplify right side
    89,745.75x = 35,614,766,601.56
  5. Step 5: Solve for x
    x = 35,614,766,601.56/89,745.75
  6. Step 6: Final answer
    x = 396,840.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.