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Finding the Third Proportional to 91,832 and 201,268

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Solution

The third proportional to 91,832 and 201,268 is: 441,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,832 : 201,268 = 201,268 : x
  2. Step 2: Convert to fraction form
    91,832/201,268 = 201,268/x
  3. Step 3: Cross multiply
    91,832x = 201,268 × 201,268
  4. Step 4: Simplify right side
    91,832x = 40,508,807,824
  5. Step 5: Solve for x
    x = 40,508,807,824/91,832
  6. Step 6: Final answer
    x = 441,118.65

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Why These Related Problems?

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