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Finding the Third Proportional to 89,091 and 179,640.50

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Solution

The third proportional to 89,091 and 179,640.50 is: 362,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,091 : 179,640.50 = 179,640.50 : x
  2. Step 2: Convert to fraction form
    89,091/179,640.50 = 179,640.50/x
  3. Step 3: Cross multiply
    89,091x = 179,640.50 × 179,640.50
  4. Step 4: Simplify right side
    89,091x = 32,270,709,240.25
  5. Step 5: Solve for x
    x = 32,270,709,240.25/89,091
  6. Step 6: Final answer
    x = 362,221.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.