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Finding the Third Proportional to 100,551 and 198,564

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Solution

The third proportional to 100,551 and 198,564 is: 392,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,551 : 198,564 = 198,564 : x
  2. Step 2: Convert to fraction form
    100,551/198,564 = 198,564/x
  3. Step 3: Cross multiply
    100,551x = 198,564 × 198,564
  4. Step 4: Simplify right side
    100,551x = 39,427,662,096
  5. Step 5: Solve for x
    x = 39,427,662,096/100,551
  6. Step 6: Final answer
    x = 392,116.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.