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Finding the Third Proportional to 80,529.19 and 185,100.19

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Solution

The third proportional to 80,529.19 and 185,100.19 is: 425,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,529.19 : 185,100.19 = 185,100.19 : x
  2. Step 2: Convert to fraction form
    80,529.19/185,100.19 = 185,100.19/x
  3. Step 3: Cross multiply
    80,529.19x = 185,100.19 × 185,100.19
  4. Step 4: Simplify right side
    80,529.19x = 34,262,079,412.54
  5. Step 5: Solve for x
    x = 34,262,079,412.54/80,529.19
  6. Step 6: Final answer
    x = 425,461.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.