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Finding the Third Proportional to 104,950,744 and 164,621,832

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Solution

The third proportional to 104,950,744 and 164,621,832 is: 258,219,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,950,744 : 164,621,832 = 164,621,832 : x
  2. Step 2: Convert to fraction form
    104,950,744/164,621,832 = 164,621,832/x
  3. Step 3: Cross multiply
    104,950,744x = 164,621,832 × 164,621,832
  4. Step 4: Simplify right side
    104,950,744x = 27,100,347,571,036,224
  5. Step 5: Solve for x
    x = 27,100,347,571,036,224/104,950,744
  6. Step 6: Final answer
    x = 258,219,680.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.