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Finding the Third Proportional to 192,305,226 and 413,769,728

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Solution

The third proportional to 192,305,226 and 413,769,728 is: 890,279,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,305,226 : 413,769,728 = 413,769,728 : x
  2. Step 2: Convert to fraction form
    192,305,226/413,769,728 = 413,769,728/x
  3. Step 3: Cross multiply
    192,305,226x = 413,769,728 × 413,769,728
  4. Step 4: Simplify right side
    192,305,226x = 171,205,387,809,193,984
  5. Step 5: Solve for x
    x = 171,205,387,809,193,984/192,305,226
  6. Step 6: Final answer
    x = 890,279,434.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.