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Finding the Third Proportional to 66,180.38 and 156,105.56

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Solution

The third proportional to 66,180.38 and 156,105.56 is: 368,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,180.38 : 156,105.56 = 156,105.56 : x
  2. Step 2: Convert to fraction form
    66,180.38/156,105.56 = 156,105.56/x
  3. Step 3: Cross multiply
    66,180.38x = 156,105.56 × 156,105.56
  4. Step 4: Simplify right side
    66,180.38x = 24,368,946,643.44
  5. Step 5: Solve for x
    x = 24,368,946,643.44/66,180.38
  6. Step 6: Final answer
    x = 368,220.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.