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Finding the Third Proportional to 100,380.38 and 133,824.38

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Solution

The third proportional to 100,380.38 and 133,824.38 is: 178,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,380.38 : 133,824.38 = 133,824.38 : x
  2. Step 2: Convert to fraction form
    100,380.38/133,824.38 = 133,824.38/x
  3. Step 3: Cross multiply
    100,380.38x = 133,824.38 × 133,824.38
  4. Step 4: Simplify right side
    100,380.38x = 17,908,963,344.14
  5. Step 5: Solve for x
    x = 17,908,963,344.14/100,380.38
  6. Step 6: Final answer
    x = 178,411.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.