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Finding the Third Proportional to 89,380.50 and 184,947

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Solution

The third proportional to 89,380.50 and 184,947 is: 382,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,380.50 : 184,947 = 184,947 : x
  2. Step 2: Convert to fraction form
    89,380.50/184,947 = 184,947/x
  3. Step 3: Cross multiply
    89,380.50x = 184,947 × 184,947
  4. Step 4: Simplify right side
    89,380.50x = 34,205,392,809
  5. Step 5: Solve for x
    x = 34,205,392,809/89,380.50
  6. Step 6: Final answer
    x = 382,694.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.