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Finding the Third Proportional to 49,384,651.50 and 108,545,754.75

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Solution

The third proportional to 49,384,651.50 and 108,545,754.75 is: 238,579,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384,651.50 : 108,545,754.75 = 108,545,754.75 : x
  2. Step 2: Convert to fraction form
    49,384,651.50/108,545,754.75 = 108,545,754.75/x
  3. Step 3: Cross multiply
    49,384,651.50x = 108,545,754.75 × 108,545,754.75
  4. Step 4: Simplify right side
    49,384,651.50x = 11,782,180,874,247,148
  5. Step 5: Solve for x
    x = 11,782,180,874,247,148/49,384,651.50
  6. Step 6: Final answer
    x = 238,579,812.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.