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Finding the Third Proportional to 90,650 and 199,248

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Solution

The third proportional to 90,650 and 199,248 is: 437,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,650 : 199,248 = 199,248 : x
  2. Step 2: Convert to fraction form
    90,650/199,248 = 199,248/x
  3. Step 3: Cross multiply
    90,650x = 199,248 × 199,248
  4. Step 4: Simplify right side
    90,650x = 39,699,765,504
  5. Step 5: Solve for x
    x = 39,699,765,504/90,650
  6. Step 6: Final answer
    x = 437,945.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.