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Finding the Third Proportional to 90,516 and 198,838

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Solution

The third proportional to 90,516 and 198,838 is: 436,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,516 : 198,838 = 198,838 : x
  2. Step 2: Convert to fraction form
    90,516/198,838 = 198,838/x
  3. Step 3: Cross multiply
    90,516x = 198,838 × 198,838
  4. Step 4: Simplify right side
    90,516x = 39,536,550,244
  5. Step 5: Solve for x
    x = 39,536,550,244/90,516
  6. Step 6: Final answer
    x = 436,790.74

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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.