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Finding the Third Proportional to 105,531.75 and 225,825.19

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Solution

The third proportional to 105,531.75 and 225,825.19 is: 483,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,531.75 : 225,825.19 = 225,825.19 : x
  2. Step 2: Convert to fraction form
    105,531.75/225,825.19 = 225,825.19/x
  3. Step 3: Cross multiply
    105,531.75x = 225,825.19 × 225,825.19
  4. Step 4: Simplify right side
    105,531.75x = 50,997,015,309.41
  5. Step 5: Solve for x
    x = 50,997,015,309.41/105,531.75
  6. Step 6: Final answer
    x = 483,238.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.