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Finding the Third Proportional to 94,204.13 and 204,770.25

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Solution

The third proportional to 94,204.13 and 204,770.25 is: 445,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,204.13 : 204,770.25 = 204,770.25 : x
  2. Step 2: Convert to fraction form
    94,204.13/204,770.25 = 204,770.25/x
  3. Step 3: Cross multiply
    94,204.13x = 204,770.25 × 204,770.25
  4. Step 4: Simplify right side
    94,204.13x = 41,930,855,285.06
  5. Step 5: Solve for x
    x = 41,930,855,285.06/94,204.13
  6. Step 6: Final answer
    x = 445,106.36

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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.