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Finding the Third Proportional to 103,900 and 226,016

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Solution

The third proportional to 103,900 and 226,016 is: 491,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,900 : 226,016 = 226,016 : x
  2. Step 2: Convert to fraction form
    103,900/226,016 = 226,016/x
  3. Step 3: Cross multiply
    103,900x = 226,016 × 226,016
  4. Step 4: Simplify right side
    103,900x = 51,083,232,256
  5. Step 5: Solve for x
    x = 51,083,232,256/103,900
  6. Step 6: Final answer
    x = 491,657.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.