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Finding the Third Proportional to 86,615 and 195,635

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Solution

The third proportional to 86,615 and 195,635 is: 441,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,615 : 195,635 = 195,635 : x
  2. Step 2: Convert to fraction form
    86,615/195,635 = 195,635/x
  3. Step 3: Cross multiply
    86,615x = 195,635 × 195,635
  4. Step 4: Simplify right side
    86,615x = 38,273,053,225
  5. Step 5: Solve for x
    x = 38,273,053,225/86,615
  6. Step 6: Final answer
    x = 441,875.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.