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Finding the Third Proportional to 48,493,015.25 and 105,874,504.75

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Solution

The third proportional to 48,493,015.25 and 105,874,504.75 is: 231,155,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,493,015.25 : 105,874,504.75 = 105,874,504.75 : x
  2. Step 2: Convert to fraction form
    48,493,015.25/105,874,504.75 = 105,874,504.75/x
  3. Step 3: Cross multiply
    48,493,015.25x = 105,874,504.75 × 105,874,504.75
  4. Step 4: Simplify right side
    48,493,015.25x = 11,209,410,756,057,772
  5. Step 5: Solve for x
    x = 11,209,410,756,057,772/48,493,015.25
  6. Step 6: Final answer
    x = 231,155,161.18

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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.