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Finding the Third Proportional to 41,664 and 90,949.50

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Solution

The third proportional to 41,664 and 90,949.50 is: 198,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,664 : 90,949.50 = 90,949.50 : x
  2. Step 2: Convert to fraction form
    41,664/90,949.50 = 90,949.50/x
  3. Step 3: Cross multiply
    41,664x = 90,949.50 × 90,949.50
  4. Step 4: Simplify right side
    41,664x = 8,271,811,550.25
  5. Step 5: Solve for x
    x = 8,271,811,550.25/41,664
  6. Step 6: Final answer
    x = 198,536.18

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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.