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Finding the Third Proportional to 92,518.50 and 192,309.75

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Solution

The third proportional to 92,518.50 and 192,309.75 is: 399,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,518.50 : 192,309.75 = 192,309.75 : x
  2. Step 2: Convert to fraction form
    92,518.50/192,309.75 = 192,309.75/x
  3. Step 3: Cross multiply
    92,518.50x = 192,309.75 × 192,309.75
  4. Step 4: Simplify right side
    92,518.50x = 36,983,039,945.06
  5. Step 5: Solve for x
    x = 36,983,039,945.06/92,518.50
  6. Step 6: Final answer
    x = 399,736.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.