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Finding the Third Proportional to 181,569,665 and 376,058,884

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Solution

The third proportional to 181,569,665 and 376,058,884 is: 778,876,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569,665 : 376,058,884 = 376,058,884 : x
  2. Step 2: Convert to fraction form
    181,569,665/376,058,884 = 376,058,884/x
  3. Step 3: Cross multiply
    181,569,665x = 376,058,884 × 376,058,884
  4. Step 4: Simplify right side
    181,569,665x = 141,420,284,235,325,456
  5. Step 5: Solve for x
    x = 141,420,284,235,325,456/181,569,665
  6. Step 6: Final answer
    x = 778,876,164.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.