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Finding the Third Proportional to 49,143,796 and 106,641,078

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Solution

The third proportional to 49,143,796 and 106,641,078 is: 231,409,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143,796 : 106,641,078 = 106,641,078 : x
  2. Step 2: Convert to fraction form
    49,143,796/106,641,078 = 106,641,078/x
  3. Step 3: Cross multiply
    49,143,796x = 106,641,078 × 106,641,078
  4. Step 4: Simplify right side
    49,143,796x = 11,372,319,517,002,084
  5. Step 5: Solve for x
    x = 11,372,319,517,002,084/49,143,796
  6. Step 6: Final answer
    x = 231,409,057.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.