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Finding the Third Proportional to 87,450.19 and 185,409.56

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Solution

The third proportional to 87,450.19 and 185,409.56 is: 393,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,450.19 : 185,409.56 = 185,409.56 : x
  2. Step 2: Convert to fraction form
    87,450.19/185,409.56 = 185,409.56/x
  3. Step 3: Cross multiply
    87,450.19x = 185,409.56 × 185,409.56
  4. Step 4: Simplify right side
    87,450.19x = 34,376,705,866.44
  5. Step 5: Solve for x
    x = 34,376,705,866.44/87,450.19
  6. Step 6: Final answer
    x = 393,100.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.