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Finding the Third Proportional to 181,996,379,876.25 and 395,670,202,485.76

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Solution

The third proportional to 181,996,379,876.25 and 395,670,202,485.76 is: 860,208,918,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,996,379,876.25 : 395,670,202,485.76 = 395,670,202,485.76 : x
  2. Step 2: Convert to fraction form
    181,996,379,876.25/395,670,202,485.76 = 395,670,202,485.76/x
  3. Step 3: Cross multiply
    181,996,379,876.25x = 395,670,202,485.76 × 395,670,202,485.76
  4. Step 4: Simplify right side
    181,996,379,876.25x = 156,554,909,135,122,343,133,184
  5. Step 5: Solve for x
    x = 156,554,909,135,122,343,133,184/181,996,379,876.25
  6. Step 6: Final answer
    x = 860,208,918,669.55

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