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Finding the Third Proportional to 49,074,800 and 103,226,330

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Solution

The third proportional to 49,074,800 and 103,226,330 is: 217,131,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074,800 : 103,226,330 = 103,226,330 : x
  2. Step 2: Convert to fraction form
    49,074,800/103,226,330 = 103,226,330/x
  3. Step 3: Cross multiply
    49,074,800x = 103,226,330 × 103,226,330
  4. Step 4: Simplify right side
    49,074,800x = 10,655,675,205,268,900
  5. Step 5: Solve for x
    x = 10,655,675,205,268,900/49,074,800
  6. Step 6: Final answer
    x = 217,131,301.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.