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Finding the Third Proportional to 41,337 and 90,166.50

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Solution

The third proportional to 41,337 and 90,166.50 is: 196,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,337 : 90,166.50 = 90,166.50 : x
  2. Step 2: Convert to fraction form
    41,337/90,166.50 = 90,166.50/x
  3. Step 3: Cross multiply
    41,337x = 90,166.50 × 90,166.50
  4. Step 4: Simplify right side
    41,337x = 8,129,997,722.25
  5. Step 5: Solve for x
    x = 8,129,997,722.25/41,337
  6. Step 6: Final answer
    x = 196,676.05

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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.