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Finding the Third Proportional to 89,108 and 189,868

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Solution

The third proportional to 89,108 and 189,868 is: 404,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,108 : 189,868 = 189,868 : x
  2. Step 2: Convert to fraction form
    89,108/189,868 = 189,868/x
  3. Step 3: Cross multiply
    89,108x = 189,868 × 189,868
  4. Step 4: Simplify right side
    89,108x = 36,049,857,424
  5. Step 5: Solve for x
    x = 36,049,857,424/89,108
  6. Step 6: Final answer
    x = 404,563.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.