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Finding the Third Proportional to 166,393,074 and 371,023,668

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Solution

The third proportional to 166,393,074 and 371,023,668 is: 827,309,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,393,074 : 371,023,668 = 371,023,668 : x
  2. Step 2: Convert to fraction form
    166,393,074/371,023,668 = 371,023,668/x
  3. Step 3: Cross multiply
    166,393,074x = 371,023,668 × 371,023,668
  4. Step 4: Simplify right side
    166,393,074x = 137,658,562,216,174,224
  5. Step 5: Solve for x
    x = 137,658,562,216,174,224/166,393,074
  6. Step 6: Final answer
    x = 827,309,448.09

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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.