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Finding the Third Proportional to 84,397.88 and 183,286.13

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Solution

The third proportional to 84,397.88 and 183,286.13 is: 398,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,397.88 : 183,286.13 = 183,286.13 : x
  2. Step 2: Convert to fraction form
    84,397.88/183,286.13 = 183,286.13/x
  3. Step 3: Cross multiply
    84,397.88x = 183,286.13 × 183,286.13
  4. Step 4: Simplify right side
    84,397.88x = 33,593,803,617.52
  5. Step 5: Solve for x
    x = 33,593,803,617.52/84,397.88
  6. Step 6: Final answer
    x = 398,040.87

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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.