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Finding the Third Proportional to 90,511 and 198,865

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Solution

The third proportional to 90,511 and 198,865 is: 436,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,511 : 198,865 = 198,865 : x
  2. Step 2: Convert to fraction form
    90,511/198,865 = 198,865/x
  3. Step 3: Cross multiply
    90,511x = 198,865 × 198,865
  4. Step 4: Simplify right side
    90,511x = 39,547,288,225
  5. Step 5: Solve for x
    x = 39,547,288,225/90,511
  6. Step 6: Final answer
    x = 436,933.50

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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.