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Finding the Third Proportional to 50,305,742 and 107,783,548

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Solution

The third proportional to 50,305,742 and 107,783,548 is: 230,933,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,305,742 : 107,783,548 = 107,783,548 : x
  2. Step 2: Convert to fraction form
    50,305,742/107,783,548 = 107,783,548/x
  3. Step 3: Cross multiply
    50,305,742x = 107,783,548 × 107,783,548
  4. Step 4: Simplify right side
    50,305,742x = 11,617,293,219,468,304
  5. Step 5: Solve for x
    x = 11,617,293,219,468,304/50,305,742
  6. Step 6: Final answer
    x = 230,933,741.51

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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.