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Finding the Third Proportional to 122,129,189 and 263,389,762

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Solution

The third proportional to 122,129,189 and 263,389,762 is: 568,039,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,189 : 263,389,762 = 263,389,762 : x
  2. Step 2: Convert to fraction form
    122,129,189/263,389,762 = 263,389,762/x
  3. Step 3: Cross multiply
    122,129,189x = 263,389,762 × 263,389,762
  4. Step 4: Simplify right side
    122,129,189x = 69,374,166,726,416,640
  5. Step 5: Solve for x
    x = 69,374,166,726,416,640/122,129,189
  6. Step 6: Final answer
    x = 568,039,199.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.