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Finding the Third Proportional to 179,701,318 and 256,797,342

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Solution

The third proportional to 179,701,318 and 256,797,342 is: 366,969,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701,318 : 256,797,342 = 256,797,342 : x
  2. Step 2: Convert to fraction form
    179,701,318/256,797,342 = 256,797,342/x
  3. Step 3: Cross multiply
    179,701,318x = 256,797,342 × 256,797,342
  4. Step 4: Simplify right side
    179,701,318x = 65,944,874,858,264,960
  5. Step 5: Solve for x
    x = 65,944,874,858,264,960/179,701,318
  6. Step 6: Final answer
    x = 366,969,344.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.