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Finding the Third Proportional to 219,085,138.50 and 341,190,474

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Solution

The third proportional to 219,085,138.50 and 341,190,474 is: 531,350,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,085,138.50 : 341,190,474 = 341,190,474 : x
  2. Step 2: Convert to fraction form
    219,085,138.50/341,190,474 = 341,190,474/x
  3. Step 3: Cross multiply
    219,085,138.50x = 341,190,474 × 341,190,474
  4. Step 4: Simplify right side
    219,085,138.50x = 116,410,939,548,344,672
  5. Step 5: Solve for x
    x = 116,410,939,548,344,672/219,085,138.50
  6. Step 6: Final answer
    x = 531,350,233.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.