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Finding the Third Proportional to 49,827,825 and 107,105,058

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Solution

The third proportional to 49,827,825 and 107,105,058 is: 230,222,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827,825 : 107,105,058 = 107,105,058 : x
  2. Step 2: Convert to fraction form
    49,827,825/107,105,058 = 107,105,058/x
  3. Step 3: Cross multiply
    49,827,825x = 107,105,058 × 107,105,058
  4. Step 4: Simplify right side
    49,827,825x = 11,471,493,449,183,364
  5. Step 5: Solve for x
    x = 11,471,493,449,183,364/49,827,825
  6. Step 6: Final answer
    x = 230,222,640.65

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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.