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Finding the Third Proportional to 94,677.38 and 205,449

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Solution

The third proportional to 94,677.38 and 205,449 is: 445,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,677.38 : 205,449 = 205,449 : x
  2. Step 2: Convert to fraction form
    94,677.38/205,449 = 205,449/x
  3. Step 3: Cross multiply
    94,677.38x = 205,449 × 205,449
  4. Step 4: Simplify right side
    94,677.38x = 42,209,291,601
  5. Step 5: Solve for x
    x = 42,209,291,601/94,677.38
  6. Step 6: Final answer
    x = 445,822.37

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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.