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Finding the Third Proportional to 91,743 and 200,970

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Solution

The third proportional to 91,743 and 200,970 is: 440,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,743 : 200,970 = 200,970 : x
  2. Step 2: Convert to fraction form
    91,743/200,970 = 200,970/x
  3. Step 3: Cross multiply
    91,743x = 200,970 × 200,970
  4. Step 4: Simplify right side
    91,743x = 40,388,940,900
  5. Step 5: Solve for x
    x = 40,388,940,900/91,743
  6. Step 6: Final answer
    x = 440,240.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.