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Finding the Third Proportional to 23,004,198.50 and 49,239,892

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Solution

The third proportional to 23,004,198.50 and 49,239,892 is: 105,396,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004,198.50 : 49,239,892 = 49,239,892 : x
  2. Step 2: Convert to fraction form
    23,004,198.50/49,239,892 = 49,239,892/x
  3. Step 3: Cross multiply
    23,004,198.50x = 49,239,892 × 49,239,892
  4. Step 4: Simplify right side
    23,004,198.50x = 2,424,566,964,171,664
  5. Step 5: Solve for x
    x = 2,424,566,964,171,664/23,004,198.50
  6. Step 6: Final answer
    x = 105,396,715.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.