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Finding the Third Proportional to 122,162,200 and 263,452,928

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Solution

The third proportional to 122,162,200 and 263,452,928 is: 568,158,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,162,200 : 263,452,928 = 263,452,928 : x
  2. Step 2: Convert to fraction form
    122,162,200/263,452,928 = 263,452,928/x
  3. Step 3: Cross multiply
    122,162,200x = 263,452,928 × 263,452,928
  4. Step 4: Simplify right side
    122,162,200x = 69,407,445,271,773,184
  5. Step 5: Solve for x
    x = 69,407,445,271,773,184/122,162,200
  6. Step 6: Final answer
    x = 568,158,114.96

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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.