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Finding the Third Proportional to 75,980.11 and 165,338.72

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Solution

The third proportional to 75,980.11 and 165,338.72 is: 359,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.11 : 165,338.72 = 165,338.72 : x
  2. Step 2: Convert to fraction form
    75,980.11/165,338.72 = 165,338.72/x
  3. Step 3: Cross multiply
    75,980.11x = 165,338.72 × 165,338.72
  4. Step 4: Simplify right side
    75,980.11x = 27,336,891,917.89
  5. Step 5: Solve for x
    x = 27,336,891,917.89/75,980.11
  6. Step 6: Final answer
    x = 359,790.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.