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Finding the Third Proportional to 91,169 and 196,917

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Solution

The third proportional to 91,169 and 196,917 is: 425,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,169 : 196,917 = 196,917 : x
  2. Step 2: Convert to fraction form
    91,169/196,917 = 196,917/x
  3. Step 3: Cross multiply
    91,169x = 196,917 × 196,917
  4. Step 4: Simplify right side
    91,169x = 38,776,304,889
  5. Step 5: Solve for x
    x = 38,776,304,889/91,169
  6. Step 6: Final answer
    x = 425,323.35

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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.