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Finding the Third Proportional to 99,734,836,296 and 219,416,397,072

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Solution

The third proportional to 99,734,836,296 and 219,416,397,072 is: 482,715,539,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,734,836,296 : 219,416,397,072 = 219,416,397,072 : x
  2. Step 2: Convert to fraction form
    99,734,836,296/219,416,397,072 = 219,416,397,072/x
  3. Step 3: Cross multiply
    99,734,836,296x = 219,416,397,072 × 219,416,397,072
  4. Step 4: Simplify right side
    99,734,836,296x = 48,143,555,304,057,567,444,992
  5. Step 5: Solve for x
    x = 48,143,555,304,057,567,444,992/99,734,836,296
  6. Step 6: Final answer
    x = 482,715,539,444.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.