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Finding the Third Proportional to 90,660 and 199,442

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Solution

The third proportional to 90,660 and 199,442 is: 438,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,660 : 199,442 = 199,442 : x
  2. Step 2: Convert to fraction form
    90,660/199,442 = 199,442/x
  3. Step 3: Cross multiply
    90,660x = 199,442 × 199,442
  4. Step 4: Simplify right side
    90,660x = 39,777,111,364
  5. Step 5: Solve for x
    x = 39,777,111,364/90,660
  6. Step 6: Final answer
    x = 438,750.40

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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.