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Finding the Third Proportional to 49,148,469 and 106,475,223

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Solution

The third proportional to 49,148,469 and 106,475,223 is: 230,667,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148,469 : 106,475,223 = 106,475,223 : x
  2. Step 2: Convert to fraction form
    49,148,469/106,475,223 = 106,475,223/x
  3. Step 3: Cross multiply
    49,148,469x = 106,475,223 × 106,475,223
  4. Step 4: Simplify right side
    49,148,469x = 11,336,973,112,899,728
  5. Step 5: Solve for x
    x = 11,336,973,112,899,728/49,148,469
  6. Step 6: Final answer
    x = 230,667,879.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.