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Finding the Third Proportional to 91,176.75 and 189,601.50

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Solution

The third proportional to 91,176.75 and 189,601.50 is: 394,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,176.75 : 189,601.50 = 189,601.50 : x
  2. Step 2: Convert to fraction form
    91,176.75/189,601.50 = 189,601.50/x
  3. Step 3: Cross multiply
    91,176.75x = 189,601.50 × 189,601.50
  4. Step 4: Simplify right side
    91,176.75x = 35,948,728,802.25
  5. Step 5: Solve for x
    x = 35,948,728,802.25/91,176.75
  6. Step 6: Final answer
    x = 394,275.17

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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.