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Finding the Third Proportional to 49,542,123 and 103,601,494.50

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Solution

The third proportional to 49,542,123 and 103,601,494.50 is: 216,649,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,123 : 103,601,494.50 = 103,601,494.50 : x
  2. Step 2: Convert to fraction form
    49,542,123/103,601,494.50 = 103,601,494.50/x
  3. Step 3: Cross multiply
    49,542,123x = 103,601,494.50 × 103,601,494.50
  4. Step 4: Simplify right side
    49,542,123x = 10,733,269,662,633,530
  5. Step 5: Solve for x
    x = 10,733,269,662,633,530/49,542,123
  6. Step 6: Final answer
    x = 216,649,368.51

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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.