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Finding the Third Proportional to 84,722.63 and 183,391.88

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Solution

The third proportional to 84,722.63 and 183,391.88 is: 396,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,722.63 : 183,391.88 = 183,391.88 : x
  2. Step 2: Convert to fraction form
    84,722.63/183,391.88 = 183,391.88/x
  3. Step 3: Cross multiply
    84,722.63x = 183,391.88 × 183,391.88
  4. Step 4: Simplify right side
    84,722.63x = 33,632,579,816.02
  5. Step 5: Solve for x
    x = 33,632,579,816.02/84,722.63
  6. Step 6: Final answer
    x = 396,972.83

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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.