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Finding the Third Proportional to 84,619.69 and 182,153.81

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Solution

The third proportional to 84,619.69 and 182,153.81 is: 392,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,619.69 : 182,153.81 = 182,153.81 : x
  2. Step 2: Convert to fraction form
    84,619.69/182,153.81 = 182,153.81/x
  3. Step 3: Cross multiply
    84,619.69x = 182,153.81 × 182,153.81
  4. Step 4: Simplify right side
    84,619.69x = 33,180,011,408.29
  5. Step 5: Solve for x
    x = 33,180,011,408.29/84,619.69
  6. Step 6: Final answer
    x = 392,107.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.