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Finding the Third Proportional to 91,981 and 202,025

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Solution

The third proportional to 91,981 and 202,025 is: 443,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,981 : 202,025 = 202,025 : x
  2. Step 2: Convert to fraction form
    91,981/202,025 = 202,025/x
  3. Step 3: Cross multiply
    91,981x = 202,025 × 202,025
  4. Step 4: Simplify right side
    91,981x = 40,814,100,625
  5. Step 5: Solve for x
    x = 40,814,100,625/91,981
  6. Step 6: Final answer
    x = 443,723.17

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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.