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Finding the Third Proportional to 90,686 and 197,432

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Solution

The third proportional to 90,686 and 197,432 is: 429,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,686 : 197,432 = 197,432 : x
  2. Step 2: Convert to fraction form
    90,686/197,432 = 197,432/x
  3. Step 3: Cross multiply
    90,686x = 197,432 × 197,432
  4. Step 4: Simplify right side
    90,686x = 38,979,394,624
  5. Step 5: Solve for x
    x = 38,979,394,624/90,686
  6. Step 6: Final answer
    x = 429,828.14

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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.