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Finding the Third Proportional to 91,982 and 202,026

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Solution

The third proportional to 91,982 and 202,026 is: 443,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,982 : 202,026 = 202,026 : x
  2. Step 2: Convert to fraction form
    91,982/202,026 = 202,026/x
  3. Step 3: Cross multiply
    91,982x = 202,026 × 202,026
  4. Step 4: Simplify right side
    91,982x = 40,814,504,676
  5. Step 5: Solve for x
    x = 40,814,504,676/91,982
  6. Step 6: Final answer
    x = 443,722.74

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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.