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Finding the Third Proportional to 181,169,641,176 and 270,183,379,203

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Solution

The third proportional to 181,169,641,176 and 270,183,379,203 is: 402,932,069,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,169,641,176 : 270,183,379,203 = 270,183,379,203 : x
  2. Step 2: Convert to fraction form
    181,169,641,176/270,183,379,203 = 270,183,379,203/x
  3. Step 3: Cross multiply
    181,169,641,176x = 270,183,379,203 × 270,183,379,203
  4. Step 4: Simplify right side
    181,169,641,176x = 72,999,058,397,552,093,167,616
  5. Step 5: Solve for x
    x = 72,999,058,397,552,093,167,616/181,169,641,176
  6. Step 6: Final answer
    x = 402,932,069,212.61

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