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Finding the Third Proportional to 241,081,569 and 523,261,296

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Solution

The third proportional to 241,081,569 and 523,261,296 is: 1,135,725,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,081,569 : 523,261,296 = 523,261,296 : x
  2. Step 2: Convert to fraction form
    241,081,569/523,261,296 = 523,261,296/x
  3. Step 3: Cross multiply
    241,081,569x = 523,261,296 × 523,261,296
  4. Step 4: Simplify right side
    241,081,569x = 273,802,383,891,599,616
  5. Step 5: Solve for x
    x = 273,802,383,891,599,616/241,081,569
  6. Step 6: Final answer
    x = 1,135,725,078.56

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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.