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Finding the Third Proportional to 181,996,379,172 and 395,670,200,924

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Solution

The third proportional to 181,996,379,172 and 395,670,200,924 is: 860,208,915,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,996,379,172 : 395,670,200,924 = 395,670,200,924 : x
  2. Step 2: Convert to fraction form
    181,996,379,172/395,670,200,924 = 395,670,200,924/x
  3. Step 3: Cross multiply
    181,996,379,172x = 395,670,200,924 × 395,670,200,924
  4. Step 4: Simplify right side
    181,996,379,172x = 156,554,907,899,238,524,387,328
  5. Step 5: Solve for x
    x = 156,554,907,899,238,524,387,328/181,996,379,172
  6. Step 6: Final answer
    x = 860,208,915,207.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.