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Finding the Third Proportional to 156,524,321 and 340,019,334

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Solution

The third proportional to 156,524,321 and 340,019,334 is: 738,627,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,524,321 : 340,019,334 = 340,019,334 : x
  2. Step 2: Convert to fraction form
    156,524,321/340,019,334 = 340,019,334/x
  3. Step 3: Cross multiply
    156,524,321x = 340,019,334 × 340,019,334
  4. Step 4: Simplify right side
    156,524,321x = 115,613,147,493,803,552
  5. Step 5: Solve for x
    x = 115,613,147,493,803,552/156,524,321
  6. Step 6: Final answer
    x = 738,627,369.57

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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.