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Finding the Third Proportional to 91,767.75 and 202,161

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Solution

The third proportional to 91,767.75 and 202,161 is: 445,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,767.75 : 202,161 = 202,161 : x
  2. Step 2: Convert to fraction form
    91,767.75/202,161 = 202,161/x
  3. Step 3: Cross multiply
    91,767.75x = 202,161 × 202,161
  4. Step 4: Simplify right side
    91,767.75x = 40,869,069,921
  5. Step 5: Solve for x
    x = 40,869,069,921/91,767.75
  6. Step 6: Final answer
    x = 445,353.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.