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Finding the Third Proportional to 88,018.50 and 192,165.75

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Solution

The third proportional to 88,018.50 and 192,165.75 is: 419,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,018.50 : 192,165.75 = 192,165.75 : x
  2. Step 2: Convert to fraction form
    88,018.50/192,165.75 = 192,165.75/x
  3. Step 3: Cross multiply
    88,018.50x = 192,165.75 × 192,165.75
  4. Step 4: Simplify right side
    88,018.50x = 36,927,675,473.06
  5. Step 5: Solve for x
    x = 36,927,675,473.06/88,018.50
  6. Step 6: Final answer
    x = 419,544.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.