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Finding the Third Proportional to 91,734.75 and 193,416.75

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Solution

The third proportional to 91,734.75 and 193,416.75 is: 407,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,734.75 : 193,416.75 = 193,416.75 : x
  2. Step 2: Convert to fraction form
    91,734.75/193,416.75 = 193,416.75/x
  3. Step 3: Cross multiply
    91,734.75x = 193,416.75 × 193,416.75
  4. Step 4: Simplify right side
    91,734.75x = 37,410,039,180.56
  5. Step 5: Solve for x
    x = 37,410,039,180.56/91,734.75
  6. Step 6: Final answer
    x = 407,806.63

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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.