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Finding the Third Proportional to 122,162,224 and 263,452,960

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Solution

The third proportional to 122,162,224 and 263,452,960 is: 568,158,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,162,224 : 263,452,960 = 263,452,960 : x
  2. Step 2: Convert to fraction form
    122,162,224/263,452,960 = 263,452,960/x
  3. Step 3: Cross multiply
    122,162,224x = 263,452,960 × 263,452,960
  4. Step 4: Simplify right side
    122,162,224x = 69,407,462,132,761,600
  5. Step 5: Solve for x
    x = 69,407,462,132,761,600/122,162,224
  6. Step 6: Final answer
    x = 568,158,141.36

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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.