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Finding the Third Proportional to 106,912 and 230,936

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Solution

The third proportional to 106,912 and 230,936 is: 498,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,912 : 230,936 = 230,936 : x
  2. Step 2: Convert to fraction form
    106,912/230,936 = 230,936/x
  3. Step 3: Cross multiply
    106,912x = 230,936 × 230,936
  4. Step 4: Simplify right side
    106,912x = 53,331,436,096
  5. Step 5: Solve for x
    x = 53,331,436,096/106,912
  6. Step 6: Final answer
    x = 498,834.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.