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Finding the Third Proportional to 172,058,072 and 263,024,517

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Solution

The third proportional to 172,058,072 and 263,024,517 is: 402,084,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058,072 : 263,024,517 = 263,024,517 : x
  2. Step 2: Convert to fraction form
    172,058,072/263,024,517 = 263,024,517/x
  3. Step 3: Cross multiply
    172,058,072x = 263,024,517 × 263,024,517
  4. Step 4: Simplify right side
    172,058,072x = 69,181,896,543,083,288
  5. Step 5: Solve for x
    x = 69,181,896,543,083,288/172,058,072
  6. Step 6: Final answer
    x = 402,084,573.77

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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.