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Finding the Third Proportional to 100,936.13 and 182,138.63

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Solution

The third proportional to 100,936.13 and 182,138.63 is: 328,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,936.13 : 182,138.63 = 182,138.63 : x
  2. Step 2: Convert to fraction form
    100,936.13/182,138.63 = 182,138.63/x
  3. Step 3: Cross multiply
    100,936.13x = 182,138.63 × 182,138.63
  4. Step 4: Simplify right side
    100,936.13x = 33,174,478,716.89
  5. Step 5: Solve for x
    x = 33,174,478,716.89/100,936.13
  6. Step 6: Final answer
    x = 328,668.04

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.