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Finding the Third Proportional to 85,214 and 186,993

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Solution

The third proportional to 85,214 and 186,993 is: 410,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214 : 186,993 = 186,993 : x
  2. Step 2: Convert to fraction form
    85,214/186,993 = 186,993/x
  3. Step 3: Cross multiply
    85,214x = 186,993 × 186,993
  4. Step 4: Simplify right side
    85,214x = 34,966,382,049
  5. Step 5: Solve for x
    x = 34,966,382,049/85,214
  6. Step 6: Final answer
    x = 410,336.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.