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Finding the Third Proportional to 43,826.97 and 95,967.08

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Solution

The third proportional to 43,826.97 and 95,967.08 is: 210,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,826.97 : 95,967.08 = 95,967.08 : x
  2. Step 2: Convert to fraction form
    43,826.97/95,967.08 = 95,967.08/x
  3. Step 3: Cross multiply
    43,826.97x = 95,967.08 × 95,967.08
  4. Step 4: Simplify right side
    43,826.97x = 9,209,681,114.75
  5. Step 5: Solve for x
    x = 9,209,681,114.75/43,826.97
  6. Step 6: Final answer
    x = 210,137.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.