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Finding the Third Proportional to 181,169,640,994 and 270,183,379,737

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Solution

The third proportional to 181,169,640,994 and 270,183,379,737 is: 402,932,071,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,169,640,994 : 270,183,379,737 = 270,183,379,737 : x
  2. Step 2: Convert to fraction form
    181,169,640,994/270,183,379,737 = 270,183,379,737/x
  3. Step 3: Cross multiply
    181,169,640,994x = 270,183,379,737 × 270,183,379,737
  4. Step 4: Simplify right side
    181,169,640,994x = 72,999,058,686,107,944,222,720
  5. Step 5: Solve for x
    x = 72,999,058,686,107,944,222,720/181,169,640,994
  6. Step 6: Final answer
    x = 402,932,071,210.13

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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.