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Finding the Third Proportional to 104,151,783 and 226,819,194

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Solution

The third proportional to 104,151,783 and 226,819,194 is: 493,961,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,151,783 : 226,819,194 = 226,819,194 : x
  2. Step 2: Convert to fraction form
    104,151,783/226,819,194 = 226,819,194/x
  3. Step 3: Cross multiply
    104,151,783x = 226,819,194 × 226,819,194
  4. Step 4: Simplify right side
    104,151,783x = 51,446,946,766,809,632
  5. Step 5: Solve for x
    x = 51,446,946,766,809,632/104,151,783
  6. Step 6: Final answer
    x = 493,961,267.73

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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.