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Finding the Third Proportional to 89,773.50 and 189,015

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Solution

The third proportional to 89,773.50 and 189,015 is: 397,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,773.50 : 189,015 = 189,015 : x
  2. Step 2: Convert to fraction form
    89,773.50/189,015 = 189,015/x
  3. Step 3: Cross multiply
    89,773.50x = 189,015 × 189,015
  4. Step 4: Simplify right side
    89,773.50x = 35,726,670,225
  5. Step 5: Solve for x
    x = 35,726,670,225/89,773.50
  6. Step 6: Final answer
    x = 397,964.55

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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.