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Finding the Third Proportional to 196,150,940 and 416,211,806

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Solution

The third proportional to 196,150,940 and 416,211,806 is: 883,157,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,150,940 : 416,211,806 = 416,211,806 : x
  2. Step 2: Convert to fraction form
    196,150,940/416,211,806 = 416,211,806/x
  3. Step 3: Cross multiply
    196,150,940x = 416,211,806 × 416,211,806
  4. Step 4: Simplify right side
    196,150,940x = 173,232,267,453,781,632
  5. Step 5: Solve for x
    x = 173,232,267,453,781,632/196,150,940
  6. Step 6: Final answer
    x = 883,157,977.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.