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Finding the Third Proportional to 115,544,256 and 253,759,872

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Solution

The third proportional to 115,544,256 and 253,759,872 is: 557,310,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,544,256 : 253,759,872 = 253,759,872 : x
  2. Step 2: Convert to fraction form
    115,544,256/253,759,872 = 253,759,872/x
  3. Step 3: Cross multiply
    115,544,256x = 253,759,872 × 253,759,872
  4. Step 4: Simplify right side
    115,544,256x = 64,394,072,637,456,384
  5. Step 5: Solve for x
    x = 64,394,072,637,456,384/115,544,256
  6. Step 6: Final answer
    x = 557,310,894.26

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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.