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Finding the Third Proportional to 84,872.81 and 183,084.19

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Solution

The third proportional to 84,872.81 and 183,084.19 is: 394,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,872.81 : 183,084.19 = 183,084.19 : x
  2. Step 2: Convert to fraction form
    84,872.81/183,084.19 = 183,084.19/x
  3. Step 3: Cross multiply
    84,872.81x = 183,084.19 × 183,084.19
  4. Step 4: Simplify right side
    84,872.81x = 33,519,819,712.54
  5. Step 5: Solve for x
    x = 33,519,819,712.54/84,872.81
  6. Step 6: Final answer
    x = 394,941.78

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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.