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Finding the Third Proportional to 84,721.78 and 183,391.03

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Solution

The third proportional to 84,721.78 and 183,391.03 is: 396,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721.78 : 183,391.03 = 183,391.03 : x
  2. Step 2: Convert to fraction form
    84,721.78/183,391.03 = 183,391.03/x
  3. Step 3: Cross multiply
    84,721.78x = 183,391.03 × 183,391.03
  4. Step 4: Simplify right side
    84,721.78x = 33,632,270,342.94
  5. Step 5: Solve for x
    x = 33,632,270,342.94/84,721.78
  6. Step 6: Final answer
    x = 396,973.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.