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Finding the Third Proportional to 69,835,505 and 164,621,675

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Solution

The third proportional to 69,835,505 and 164,621,675 is: 388,058,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,505 : 164,621,675 = 164,621,675 : x
  2. Step 2: Convert to fraction form
    69,835,505/164,621,675 = 164,621,675/x
  3. Step 3: Cross multiply
    69,835,505x = 164,621,675 × 164,621,675
  4. Step 4: Simplify right side
    69,835,505x = 27,100,295,879,805,624
  5. Step 5: Solve for x
    x = 27,100,295,879,805,624/69,835,505
  6. Step 6: Final answer
    x = 388,058,994.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.