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Finding the Third Proportional to 172,058,067 and 263,024,512

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Solution

The third proportional to 172,058,067 and 263,024,512 is: 402,084,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058,067 : 263,024,512 = 263,024,512 : x
  2. Step 2: Convert to fraction form
    172,058,067/263,024,512 = 263,024,512/x
  3. Step 3: Cross multiply
    172,058,067x = 263,024,512 × 263,024,512
  4. Step 4: Simplify right side
    172,058,067x = 69,181,893,912,838,144
  5. Step 5: Solve for x
    x = 69,181,893,912,838,144/172,058,067
  6. Step 6: Final answer
    x = 402,084,570.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.