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Finding the Third Proportional to 105,207 and 225,186.75

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Solution

The third proportional to 105,207 and 225,186.75 is: 481,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,207 : 225,186.75 = 225,186.75 : x
  2. Step 2: Convert to fraction form
    105,207/225,186.75 = 225,186.75/x
  3. Step 3: Cross multiply
    105,207x = 225,186.75 × 225,186.75
  4. Step 4: Simplify right side
    105,207x = 50,709,072,375.56
  5. Step 5: Solve for x
    x = 50,709,072,375.56/105,207
  6. Step 6: Final answer
    x = 481,993.33

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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.