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Finding the Third Proportional to 123,305,449.50 and 268,317,694.13

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Solution

The third proportional to 123,305,449.50 and 268,317,694.13 is: 583,870,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,305,449.50 : 268,317,694.13 = 268,317,694.13 : x
  2. Step 2: Convert to fraction form
    123,305,449.50/268,317,694.13 = 268,317,694.13/x
  3. Step 3: Cross multiply
    123,305,449.50x = 268,317,694.13 × 268,317,694.13
  4. Step 4: Simplify right side
    123,305,449.50x = 71,994,384,980,557,056
  5. Step 5: Solve for x
    x = 71,994,384,980,557,056/123,305,449.50
  6. Step 6: Final answer
    x = 583,870,260.99

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