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Finding the Third Proportional to 181,169,640,993 and 270,183,379,735.50

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Solution

The third proportional to 181,169,640,993 and 270,183,379,735.50 is: 402,932,071,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,169,640,993 : 270,183,379,735.50 = 270,183,379,735.50 : x
  2. Step 2: Convert to fraction form
    181,169,640,993/270,183,379,735.50 = 270,183,379,735.50/x
  3. Step 3: Cross multiply
    181,169,640,993x = 270,183,379,735.50 × 270,183,379,735.50
  4. Step 4: Simplify right side
    181,169,640,993x = 72,999,058,685,297,394,974,720
  5. Step 5: Solve for x
    x = 72,999,058,685,297,394,974,720/181,169,640,993
  6. Step 6: Final answer
    x = 402,932,071,207.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.