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Finding the Third Proportional to 194,787,851,961.50 and 418,890,605,840

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Solution

The third proportional to 194,787,851,961.50 and 418,890,605,840 is: 900,822,807,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,851,961.50 : 418,890,605,840 = 418,890,605,840 : x
  2. Step 2: Convert to fraction form
    194,787,851,961.50/418,890,605,840 = 418,890,605,840/x
  3. Step 3: Cross multiply
    194,787,851,961.50x = 418,890,605,840 × 418,890,605,840
  4. Step 4: Simplify right side
    194,787,851,961.50x = 175,469,339,661,002,237,542,400
  5. Step 5: Solve for x
    x = 175,469,339,661,002,237,542,400/194,787,851,961.50
  6. Step 6: Final answer
    x = 900,822,807,449.43

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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.