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Finding the Third Proportional to 103,215 and 226,098

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Solution

The third proportional to 103,215 and 226,098 is: 495,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,215 : 226,098 = 226,098 : x
  2. Step 2: Convert to fraction form
    103,215/226,098 = 226,098/x
  3. Step 3: Cross multiply
    103,215x = 226,098 × 226,098
  4. Step 4: Simplify right side
    103,215x = 51,120,305,604
  5. Step 5: Solve for x
    x = 51,120,305,604/103,215
  6. Step 6: Final answer
    x = 495,279.81

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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.