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Finding the Third Proportional to 109,835 and 226,229

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Solution

The third proportional to 109,835 and 226,229 is: 465,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,835 : 226,229 = 226,229 : x
  2. Step 2: Convert to fraction form
    109,835/226,229 = 226,229/x
  3. Step 3: Cross multiply
    109,835x = 226,229 × 226,229
  4. Step 4: Simplify right side
    109,835x = 51,179,560,441
  5. Step 5: Solve for x
    x = 51,179,560,441/109,835
  6. Step 6: Final answer
    x = 465,967.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.