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Finding the Third Proportional to 89,562.38 and 188,844.75

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Solution

The third proportional to 89,562.38 and 188,844.75 is: 398,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,562.38 : 188,844.75 = 188,844.75 : x
  2. Step 2: Convert to fraction form
    89,562.38/188,844.75 = 188,844.75/x
  3. Step 3: Cross multiply
    89,562.38x = 188,844.75 × 188,844.75
  4. Step 4: Simplify right side
    89,562.38x = 35,662,339,602.56
  5. Step 5: Solve for x
    x = 35,662,339,602.56/89,562.38
  6. Step 6: Final answer
    x = 398,184.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.