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Finding the Third Proportional to 40,191.19 and 85,917.94

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Solution

The third proportional to 40,191.19 and 85,917.94 is: 183,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,191.19 : 85,917.94 = 85,917.94 : x
  2. Step 2: Convert to fraction form
    40,191.19/85,917.94 = 85,917.94/x
  3. Step 3: Cross multiply
    40,191.19x = 85,917.94 × 85,917.94
  4. Step 4: Simplify right side
    40,191.19x = 7,381,891,984.25
  5. Step 5: Solve for x
    x = 7,381,891,984.25/40,191.19
  6. Step 6: Final answer
    x = 183,669.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.