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Finding the Third Proportional to 166,577,984,626 and 253,770,037,109

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Solution

The third proportional to 166,577,984,626 and 253,770,037,109 is: 386,601,097,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,577,984,626 : 253,770,037,109 = 253,770,037,109 : x
  2. Step 2: Convert to fraction form
    166,577,984,626/253,770,037,109 = 253,770,037,109/x
  3. Step 3: Cross multiply
    166,577,984,626x = 253,770,037,109 × 253,770,037,109
  4. Step 4: Simplify right side
    166,577,984,626x = 64,399,231,734,303,235,768,320
  5. Step 5: Solve for x
    x = 64,399,231,734,303,235,768,320/166,577,984,626
  6. Step 6: Final answer
    x = 386,601,097,851.51

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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.