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Finding the Third Proportional to 123,142,539 and 267,719,318

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Solution

The third proportional to 123,142,539 and 267,719,318 is: 582,037,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,142,539 : 267,719,318 = 267,719,318 : x
  2. Step 2: Convert to fraction form
    123,142,539/267,719,318 = 267,719,318/x
  3. Step 3: Cross multiply
    123,142,539x = 267,719,318 × 267,719,318
  4. Step 4: Simplify right side
    123,142,539x = 71,673,633,230,385,120
  5. Step 5: Solve for x
    x = 71,673,633,230,385,120/123,142,539
  6. Step 6: Final answer
    x = 582,037,968.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.