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Finding the Third Proportional to 104,151,782 and 226,819,192

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Solution

The third proportional to 104,151,782 and 226,819,192 is: 493,961,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,151,782 : 226,819,192 = 226,819,192 : x
  2. Step 2: Convert to fraction form
    104,151,782/226,819,192 = 226,819,192/x
  3. Step 3: Cross multiply
    104,151,782x = 226,819,192 × 226,819,192
  4. Step 4: Simplify right side
    104,151,782x = 51,446,945,859,532,864
  5. Step 5: Solve for x
    x = 51,446,945,859,532,864/104,151,782
  6. Step 6: Final answer
    x = 493,961,263.76

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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.