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Finding the Third Proportional to 41,973.19 and 91,249.03

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Solution

The third proportional to 41,973.19 and 91,249.03 is: 198,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,973.19 : 91,249.03 = 91,249.03 : x
  2. Step 2: Convert to fraction form
    41,973.19/91,249.03 = 91,249.03/x
  3. Step 3: Cross multiply
    41,973.19x = 91,249.03 × 91,249.03
  4. Step 4: Simplify right side
    41,973.19x = 8,326,385,704.06
  5. Step 5: Solve for x
    x = 8,326,385,704.06/41,973.19
  6. Step 6: Final answer
    x = 198,373.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.