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Finding the Third Proportional to 46,305,504 and 100,839,744

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Solution

The third proportional to 46,305,504 and 100,839,744 is: 219,599,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,305,504 : 100,839,744 = 100,839,744 : x
  2. Step 2: Convert to fraction form
    46,305,504/100,839,744 = 100,839,744/x
  3. Step 3: Cross multiply
    46,305,504x = 100,839,744 × 100,839,744
  4. Step 4: Simplify right side
    46,305,504x = 10,168,653,969,985,536
  5. Step 5: Solve for x
    x = 10,168,653,969,985,536/46,305,504
  6. Step 6: Final answer
    x = 219,599,250.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.