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Finding the Third Proportional to 120,203,686 and 179,597,970

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Solution

The third proportional to 120,203,686 and 179,597,970 is: 268,339,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,203,686 : 179,597,970 = 179,597,970 : x
  2. Step 2: Convert to fraction form
    120,203,686/179,597,970 = 179,597,970/x
  3. Step 3: Cross multiply
    120,203,686x = 179,597,970 × 179,597,970
  4. Step 4: Simplify right side
    120,203,686x = 32,255,430,828,120,900
  5. Step 5: Solve for x
    x = 32,255,430,828,120,900/120,203,686
  6. Step 6: Final answer
    x = 268,339,781.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.