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Finding the Third Proportional to 85,016 and 186,808

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Solution

The third proportional to 85,016 and 186,808 is: 410,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,016 : 186,808 = 186,808 : x
  2. Step 2: Convert to fraction form
    85,016/186,808 = 186,808/x
  3. Step 3: Cross multiply
    85,016x = 186,808 × 186,808
  4. Step 4: Simplify right side
    85,016x = 34,897,228,864
  5. Step 5: Solve for x
    x = 34,897,228,864/85,016
  6. Step 6: Final answer
    x = 410,478.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.