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Finding the Third Proportional to 104,233,514 and 229,022,884

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Solution

The third proportional to 104,233,514 and 229,022,884 is: 503,211,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,233,514 : 229,022,884 = 229,022,884 : x
  2. Step 2: Convert to fraction form
    104,233,514/229,022,884 = 229,022,884/x
  3. Step 3: Cross multiply
    104,233,514x = 229,022,884 × 229,022,884
  4. Step 4: Simplify right side
    104,233,514x = 52,451,481,395,677,456
  5. Step 5: Solve for x
    x = 52,451,481,395,677,456/104,233,514
  6. Step 6: Final answer
    x = 503,211,293.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.