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Finding the Third Proportional to 75,216.47 and 165,195.75

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Solution

The third proportional to 75,216.47 and 165,195.75 is: 362,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.47 : 165,195.75 = 165,195.75 : x
  2. Step 2: Convert to fraction form
    75,216.47/165,195.75 = 165,195.75/x
  3. Step 3: Cross multiply
    75,216.47x = 165,195.75 × 165,195.75
  4. Step 4: Simplify right side
    75,216.47x = 27,289,635,818.06
  5. Step 5: Solve for x
    x = 27,289,635,818.06/75,216.47
  6. Step 6: Final answer
    x = 362,814.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.