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Finding the Third Proportional to 96,615 and 209,305

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Solution

The third proportional to 96,615 and 209,305 is: 453,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,615 : 209,305 = 209,305 : x
  2. Step 2: Convert to fraction form
    96,615/209,305 = 209,305/x
  3. Step 3: Cross multiply
    96,615x = 209,305 × 209,305
  4. Step 4: Simplify right side
    96,615x = 43,808,583,025
  5. Step 5: Solve for x
    x = 43,808,583,025/96,615
  6. Step 6: Final answer
    x = 453,434.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.