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Finding the Third Proportional to 219,203,508 and 481,797,096

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Solution

The third proportional to 219,203,508 and 481,797,096 is: 1,058,963,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,203,508 : 481,797,096 = 481,797,096 : x
  2. Step 2: Convert to fraction form
    219,203,508/481,797,096 = 481,797,096/x
  3. Step 3: Cross multiply
    219,203,508x = 481,797,096 × 481,797,096
  4. Step 4: Simplify right side
    219,203,508x = 232,128,441,714,033,216
  5. Step 5: Solve for x
    x = 232,128,441,714,033,216/219,203,508
  6. Step 6: Final answer
    x = 1,058,963,170.03

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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.