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Finding the Third Proportional to 120,230,544 and 262,597,078

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Solution

The third proportional to 120,230,544 and 262,597,078 is: 573,541,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,230,544 : 262,597,078 = 262,597,078 : x
  2. Step 2: Convert to fraction form
    120,230,544/262,597,078 = 262,597,078/x
  3. Step 3: Cross multiply
    120,230,544x = 262,597,078 × 262,597,078
  4. Step 4: Simplify right side
    120,230,544x = 68,957,225,374,138,080
  5. Step 5: Solve for x
    x = 68,957,225,374,138,080/120,230,544
  6. Step 6: Final answer
    x = 573,541,656.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.