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Finding the Third Proportional to 122,162,228 and 263,452,968

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Solution

The third proportional to 122,162,228 and 263,452,968 is: 568,158,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,162,228 : 263,452,968 = 263,452,968 : x
  2. Step 2: Convert to fraction form
    122,162,228/263,452,968 = 263,452,968/x
  3. Step 3: Cross multiply
    122,162,228x = 263,452,968 × 263,452,968
  4. Step 4: Simplify right side
    122,162,228x = 69,407,466,348,009,024
  5. Step 5: Solve for x
    x = 69,407,466,348,009,024/122,162,228
  6. Step 6: Final answer
    x = 568,158,157.27

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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.