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Finding the Third Proportional to 89,268.75 and 194,919.75

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Solution

The third proportional to 89,268.75 and 194,919.75 is: 425,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,268.75 : 194,919.75 = 194,919.75 : x
  2. Step 2: Convert to fraction form
    89,268.75/194,919.75 = 194,919.75/x
  3. Step 3: Cross multiply
    89,268.75x = 194,919.75 × 194,919.75
  4. Step 4: Simplify right side
    89,268.75x = 37,993,708,940.06
  5. Step 5: Solve for x
    x = 37,993,708,940.06/89,268.75
  6. Step 6: Final answer
    x = 425,610.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.