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Finding the Third Proportional to 91,179.75 and 189,607.50

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Solution

The third proportional to 91,179.75 and 189,607.50 is: 394,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,179.75 : 189,607.50 = 189,607.50 : x
  2. Step 2: Convert to fraction form
    91,179.75/189,607.50 = 189,607.50/x
  3. Step 3: Cross multiply
    91,179.75x = 189,607.50 × 189,607.50
  4. Step 4: Simplify right side
    91,179.75x = 35,951,004,056.25
  5. Step 5: Solve for x
    x = 35,951,004,056.25/91,179.75
  6. Step 6: Final answer
    x = 394,287.15

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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.