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Finding the Third Proportional to 104,950,736 and 164,621,820

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Solution

The third proportional to 104,950,736 and 164,621,820 is: 258,219,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,950,736 : 164,621,820 = 164,621,820 : x
  2. Step 2: Convert to fraction form
    104,950,736/164,621,820 = 164,621,820/x
  3. Step 3: Cross multiply
    104,950,736x = 164,621,820 × 164,621,820
  4. Step 4: Simplify right side
    104,950,736x = 27,100,343,620,112,400
  5. Step 5: Solve for x
    x = 27,100,343,620,112,400/104,950,736
  6. Step 6: Final answer
    x = 258,219,662.41

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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.