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Finding the Third Proportional to 90,909 and 198,342

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Solution

The third proportional to 90,909 and 198,342 is: 432,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,909 : 198,342 = 198,342 : x
  2. Step 2: Convert to fraction form
    90,909/198,342 = 198,342/x
  3. Step 3: Cross multiply
    90,909x = 198,342 × 198,342
  4. Step 4: Simplify right side
    90,909x = 39,339,548,964
  5. Step 5: Solve for x
    x = 39,339,548,964/90,909
  6. Step 6: Final answer
    x = 432,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.