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Finding the Third Proportional to 104,790,519,771 and 227,941,422,982.50

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Solution

The third proportional to 104,790,519,771 and 227,941,422,982.50 is: 495,820,542,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790,519,771 : 227,941,422,982.50 = 227,941,422,982.50 : x
  2. Step 2: Convert to fraction form
    104,790,519,771/227,941,422,982.50 = 227,941,422,982.50/x
  3. Step 3: Cross multiply
    104,790,519,771x = 227,941,422,982.50 × 227,941,422,982.50
  4. Step 4: Simplify right side
    104,790,519,771x = 51,957,292,311,286,980,280,320
  5. Step 5: Solve for x
    x = 51,957,292,311,286,980,280,320/104,790,519,771
  6. Step 6: Final answer
    x = 495,820,542,018.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.