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Finding the Third Proportional to 103,671,990 and 222,729,414

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Solution

The third proportional to 103,671,990 and 222,729,414 is: 478,512,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671,990 : 222,729,414 = 222,729,414 : x
  2. Step 2: Convert to fraction form
    103,671,990/222,729,414 = 222,729,414/x
  3. Step 3: Cross multiply
    103,671,990x = 222,729,414 × 222,729,414
  4. Step 4: Simplify right side
    103,671,990x = 49,608,391,860,783,392
  5. Step 5: Solve for x
    x = 49,608,391,860,783,392/103,671,990
  6. Step 6: Final answer
    x = 478,512,970.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.