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Finding the Third Proportional to 49,542,214 and 103,601,676

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Solution

The third proportional to 49,542,214 and 103,601,676 is: 216,649,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,214 : 103,601,676 = 103,601,676 : x
  2. Step 2: Convert to fraction form
    49,542,214/103,601,676 = 103,601,676/x
  3. Step 3: Cross multiply
    49,542,214x = 103,601,676 × 103,601,676
  4. Step 4: Simplify right side
    49,542,214x = 10,733,307,270,008,976
  5. Step 5: Solve for x
    x = 10,733,307,270,008,976/49,542,214
  6. Step 6: Final answer
    x = 216,649,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.