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Finding the Third Proportional to 166,577,984,622 and 253,770,037,102

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Solution

The third proportional to 166,577,984,622 and 253,770,037,102 is: 386,601,097,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,577,984,622 : 253,770,037,102 = 253,770,037,102 : x
  2. Step 2: Convert to fraction form
    166,577,984,622/253,770,037,102 = 253,770,037,102/x
  3. Step 3: Cross multiply
    166,577,984,622x = 253,770,037,102 × 253,770,037,102
  4. Step 4: Simplify right side
    166,577,984,622x = 64,399,231,730,750,458,953,728
  5. Step 5: Solve for x
    x = 64,399,231,730,750,458,953,728/166,577,984,622
  6. Step 6: Final answer
    x = 386,601,097,839.46

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