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Finding the Third Proportional to 49,143,744 and 106,640,988

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Solution

The third proportional to 49,143,744 and 106,640,988 is: 231,408,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143,744 : 106,640,988 = 106,640,988 : x
  2. Step 2: Convert to fraction form
    49,143,744/106,640,988 = 106,640,988/x
  3. Step 3: Cross multiply
    49,143,744x = 106,640,988 × 106,640,988
  4. Step 4: Simplify right side
    49,143,744x = 11,372,300,321,616,144
  5. Step 5: Solve for x
    x = 11,372,300,321,616,144/49,143,744
  6. Step 6: Final answer
    x = 231,408,911.82

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