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Finding the Third Proportional to 122,860,296 and 268,861,968

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Solution

The third proportional to 122,860,296 and 268,861,968 is: 588,365,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,860,296 : 268,861,968 = 268,861,968 : x
  2. Step 2: Convert to fraction form
    122,860,296/268,861,968 = 268,861,968/x
  3. Step 3: Cross multiply
    122,860,296x = 268,861,968 × 268,861,968
  4. Step 4: Simplify right side
    122,860,296x = 72,286,757,836,833,024
  5. Step 5: Solve for x
    x = 72,286,757,836,833,024/122,860,296
  6. Step 6: Final answer
    x = 588,365,486.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.