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Finding the Third Proportional to 89,037.75 and 189,657.75

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Solution

The third proportional to 89,037.75 and 189,657.75 is: 403,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,037.75 : 189,657.75 = 189,657.75 : x
  2. Step 2: Convert to fraction form
    89,037.75/189,657.75 = 189,657.75/x
  3. Step 3: Cross multiply
    89,037.75x = 189,657.75 × 189,657.75
  4. Step 4: Simplify right side
    89,037.75x = 35,970,062,135.06
  5. Step 5: Solve for x
    x = 35,970,062,135.06/89,037.75
  6. Step 6: Final answer
    x = 403,986.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.