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Finding the Third Proportional to 104,868 and 226,489.50

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Solution

The third proportional to 104,868 and 226,489.50 is: 489,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,868 : 226,489.50 = 226,489.50 : x
  2. Step 2: Convert to fraction form
    104,868/226,489.50 = 226,489.50/x
  3. Step 3: Cross multiply
    104,868x = 226,489.50 × 226,489.50
  4. Step 4: Simplify right side
    104,868x = 51,297,493,610.25
  5. Step 5: Solve for x
    x = 51,297,493,610.25/104,868
  6. Step 6: Final answer
    x = 489,162.51

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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.