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Finding the Third Proportional to 103,190 and 225,822

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Solution

The third proportional to 103,190 and 225,822 is: 494,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,190 : 225,822 = 225,822 : x
  2. Step 2: Convert to fraction form
    103,190/225,822 = 225,822/x
  3. Step 3: Cross multiply
    103,190x = 225,822 × 225,822
  4. Step 4: Simplify right side
    103,190x = 50,995,575,684
  5. Step 5: Solve for x
    x = 50,995,575,684/103,190
  6. Step 6: Final answer
    x = 494,191.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.