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Finding the Third Proportional to 156,524,323 and 340,019,338

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Solution

The third proportional to 156,524,323 and 340,019,338 is: 738,627,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,524,323 : 340,019,338 = 340,019,338 : x
  2. Step 2: Convert to fraction form
    156,524,323/340,019,338 = 340,019,338/x
  3. Step 3: Cross multiply
    156,524,323x = 340,019,338 × 340,019,338
  4. Step 4: Simplify right side
    156,524,323x = 115,613,150,213,958,240
  5. Step 5: Solve for x
    x = 115,613,150,213,958,240/156,524,323
  6. Step 6: Final answer
    x = 738,627,377.51

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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.