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Finding the Third Proportional to 100,544.06 and 149,448.94

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Solution

The third proportional to 100,544.06 and 149,448.94 is: 222,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,544.06 : 149,448.94 = 149,448.94 : x
  2. Step 2: Convert to fraction form
    100,544.06/149,448.94 = 149,448.94/x
  3. Step 3: Cross multiply
    100,544.06x = 149,448.94 × 149,448.94
  4. Step 4: Simplify right side
    100,544.06x = 22,334,984,919.88
  5. Step 5: Solve for x
    x = 22,334,984,919.88/100,544.06
  6. Step 6: Final answer
    x = 222,141.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.