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Finding the Third Proportional to 166,393,268 and 371,024,980

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Solution

The third proportional to 166,393,268 and 371,024,980 is: 827,314,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,393,268 : 371,024,980 = 371,024,980 : x
  2. Step 2: Convert to fraction form
    166,393,268/371,024,980 = 371,024,980/x
  3. Step 3: Cross multiply
    166,393,268x = 371,024,980 × 371,024,980
  4. Step 4: Simplify right side
    166,393,268x = 137,659,535,784,000,400
  5. Step 5: Solve for x
    x = 137,659,535,784,000,400/166,393,268
  6. Step 6: Final answer
    x = 827,314,334.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.