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Finding the Third Proportional to 38,180.11 and 80,600.06

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Solution

The third proportional to 38,180.11 and 80,600.06 is: 170,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180.11 : 80,600.06 = 80,600.06 : x
  2. Step 2: Convert to fraction form
    38,180.11/80,600.06 = 80,600.06/x
  3. Step 3: Cross multiply
    38,180.11x = 80,600.06 × 80,600.06
  4. Step 4: Simplify right side
    38,180.11x = 6,496,370,075.00
  5. Step 5: Solve for x
    x = 6,496,370,075.00/38,180.11
  6. Step 6: Final answer
    x = 170,150.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.