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Finding the Third Proportional to 105,219 and 225,240.75

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Solution

The third proportional to 105,219 and 225,240.75 is: 482,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,219 : 225,240.75 = 225,240.75 : x
  2. Step 2: Convert to fraction form
    105,219/225,240.75 = 225,240.75/x
  3. Step 3: Cross multiply
    105,219x = 225,240.75 × 225,240.75
  4. Step 4: Simplify right side
    105,219x = 50,733,395,460.56
  5. Step 5: Solve for x
    x = 50,733,395,460.56/105,219
  6. Step 6: Final answer
    x = 482,169.53

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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.