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Finding the Third Proportional to 104,066,216 and 219,853,456

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Solution

The third proportional to 104,066,216 and 219,853,456 is: 464,469,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066,216 : 219,853,456 = 219,853,456 : x
  2. Step 2: Convert to fraction form
    104,066,216/219,853,456 = 219,853,456/x
  3. Step 3: Cross multiply
    104,066,216x = 219,853,456 × 219,853,456
  4. Step 4: Simplify right side
    104,066,216x = 48,335,542,115,143,936
  5. Step 5: Solve for x
    x = 48,335,542,115,143,936/104,066,216
  6. Step 6: Final answer
    x = 464,469,104.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.