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Finding the Third Proportional to 45,220 and 98,223

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Solution

The third proportional to 45,220 and 98,223 is: 213,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,220 : 98,223 = 98,223 : x
  2. Step 2: Convert to fraction form
    45,220/98,223 = 98,223/x
  3. Step 3: Cross multiply
    45,220x = 98,223 × 98,223
  4. Step 4: Simplify right side
    45,220x = 9,647,757,729
  5. Step 5: Solve for x
    x = 9,647,757,729/45,220
  6. Step 6: Final answer
    x = 213,351.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.