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Finding the Third Proportional to 104,429,823 and 226,215,678

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Solution

The third proportional to 104,429,823 and 226,215,678 is: 490,027,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,429,823 : 226,215,678 = 226,215,678 : x
  2. Step 2: Convert to fraction form
    104,429,823/226,215,678 = 226,215,678/x
  3. Step 3: Cross multiply
    104,429,823x = 226,215,678 × 226,215,678
  4. Step 4: Simplify right side
    104,429,823x = 51,173,532,972,999,680
  5. Step 5: Solve for x
    x = 51,173,532,972,999,680/104,429,823
  6. Step 6: Final answer
    x = 490,027,958.52

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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.