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Finding the Third Proportional to 90,756 and 199,008

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Solution

The third proportional to 90,756 and 199,008 is: 436,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,756 : 199,008 = 199,008 : x
  2. Step 2: Convert to fraction form
    90,756/199,008 = 199,008/x
  3. Step 3: Cross multiply
    90,756x = 199,008 × 199,008
  4. Step 4: Simplify right side
    90,756x = 39,604,184,064
  5. Step 5: Solve for x
    x = 39,604,184,064/90,756
  6. Step 6: Final answer
    x = 436,380.89

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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.