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Finding the Third Proportional to 104,429,832 and 226,215,696

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Solution

The third proportional to 104,429,832 and 226,215,696 is: 490,027,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,429,832 : 226,215,696 = 226,215,696 : x
  2. Step 2: Convert to fraction form
    104,429,832/226,215,696 = 226,215,696/x
  3. Step 3: Cross multiply
    104,429,832x = 226,215,696 × 226,215,696
  4. Step 4: Simplify right side
    104,429,832x = 51,173,541,116,764,416
  5. Step 5: Solve for x
    x = 51,173,541,116,764,416/104,429,832
  6. Step 6: Final answer
    x = 490,027,994.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.