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Finding the Third Proportional to 94,203 and 204,768

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Solution

The third proportional to 94,203 and 204,768 is: 445,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,203 : 204,768 = 204,768 : x
  2. Step 2: Convert to fraction form
    94,203/204,768 = 204,768/x
  3. Step 3: Cross multiply
    94,203x = 204,768 × 204,768
  4. Step 4: Simplify right side
    94,203x = 41,929,933,824
  5. Step 5: Solve for x
    x = 41,929,933,824/94,203
  6. Step 6: Final answer
    x = 445,101.90

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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.