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Finding the Third Proportional to 166,577,984,620.50 and 253,770,037,099

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Solution

The third proportional to 166,577,984,620.50 and 253,770,037,099 is: 386,601,097,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,577,984,620.50 : 253,770,037,099 = 253,770,037,099 : x
  2. Step 2: Convert to fraction form
    166,577,984,620.50/253,770,037,099 = 253,770,037,099/x
  3. Step 3: Cross multiply
    166,577,984,620.50x = 253,770,037,099 × 253,770,037,099
  4. Step 4: Simplify right side
    166,577,984,620.50x = 64,399,231,729,227,834,327,040
  5. Step 5: Solve for x
    x = 64,399,231,729,227,834,327,040/166,577,984,620.50
  6. Step 6: Final answer
    x = 386,601,097,833.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.