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Finding the Third Proportional to 90,706 and 196,187

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Solution

The third proportional to 90,706 and 196,187 is: 424,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,706 : 196,187 = 196,187 : x
  2. Step 2: Convert to fraction form
    90,706/196,187 = 196,187/x
  3. Step 3: Cross multiply
    90,706x = 196,187 × 196,187
  4. Step 4: Simplify right side
    90,706x = 38,489,338,969
  5. Step 5: Solve for x
    x = 38,489,338,969/90,706
  6. Step 6: Final answer
    x = 424,330.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.