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Finding the Third Proportional to 194,787,851,986.12 and 418,890,605,890.77

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Solution

The third proportional to 194,787,851,986.12 and 418,890,605,890.77 is: 900,822,807,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,851,986.12 : 418,890,605,890.77 = 418,890,605,890.77 : x
  2. Step 2: Convert to fraction form
    194,787,851,986.12/418,890,605,890.77 = 418,890,605,890.77/x
  3. Step 3: Cross multiply
    194,787,851,986.12x = 418,890,605,890.77 × 418,890,605,890.77
  4. Step 4: Simplify right side
    194,787,851,986.12x = 175,469,339,703,536,405,970,944
  5. Step 5: Solve for x
    x = 175,469,339,703,536,405,970,944/194,787,851,986.12
  6. Step 6: Final answer
    x = 900,822,807,553.93

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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.