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Finding the Third Proportional to 103,048 and 226,021

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Solution

The third proportional to 103,048 and 226,021 is: 495,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,048 : 226,021 = 226,021 : x
  2. Step 2: Convert to fraction form
    103,048/226,021 = 226,021/x
  3. Step 3: Cross multiply
    103,048x = 226,021 × 226,021
  4. Step 4: Simplify right side
    103,048x = 51,085,492,441
  5. Step 5: Solve for x
    x = 51,085,492,441/103,048
  6. Step 6: Final answer
    x = 495,744.63

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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.