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Finding the Third Proportional to 94,869 and 200,187

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Solution

The third proportional to 94,869 and 200,187 is: 422,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,869 : 200,187 = 200,187 : x
  2. Step 2: Convert to fraction form
    94,869/200,187 = 200,187/x
  3. Step 3: Cross multiply
    94,869x = 200,187 × 200,187
  4. Step 4: Simplify right side
    94,869x = 40,074,834,969
  5. Step 5: Solve for x
    x = 40,074,834,969/94,869
  6. Step 6: Final answer
    x = 422,422.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.