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Finding the Third Proportional to 89,338.50 and 186,027.75

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Solution

The third proportional to 89,338.50 and 186,027.75 is: 387,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,338.50 : 186,027.75 = 186,027.75 : x
  2. Step 2: Convert to fraction form
    89,338.50/186,027.75 = 186,027.75/x
  3. Step 3: Cross multiply
    89,338.50x = 186,027.75 × 186,027.75
  4. Step 4: Simplify right side
    89,338.50x = 34,606,323,770.06
  5. Step 5: Solve for x
    x = 34,606,323,770.06/89,338.50
  6. Step 6: Final answer
    x = 387,361.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.