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Finding the Third Proportional to 94,212 and 204,786

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Solution

The third proportional to 94,212 and 204,786 is: 445,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,212 : 204,786 = 204,786 : x
  2. Step 2: Convert to fraction form
    94,212/204,786 = 204,786/x
  3. Step 3: Cross multiply
    94,212x = 204,786 × 204,786
  4. Step 4: Simplify right side
    94,212x = 41,937,305,796
  5. Step 5: Solve for x
    x = 41,937,305,796/94,212
  6. Step 6: Final answer
    x = 445,137.62

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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.