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Finding the Third Proportional to 181,169,641,171.50 and 270,183,379,196.25

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Solution

The third proportional to 181,169,641,171.50 and 270,183,379,196.25 is: 402,932,069,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,169,641,171.50 : 270,183,379,196.25 = 270,183,379,196.25 : x
  2. Step 2: Convert to fraction form
    181,169,641,171.50/270,183,379,196.25 = 270,183,379,196.25/x
  3. Step 3: Cross multiply
    181,169,641,171.50x = 270,183,379,196.25 × 270,183,379,196.25
  4. Step 4: Simplify right side
    181,169,641,171.50x = 72,999,058,393,904,617,357,312
  5. Step 5: Solve for x
    x = 72,999,058,393,904,617,357,312/181,169,641,171.50
  6. Step 6: Final answer
    x = 402,932,069,202.49

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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.