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Finding the Third Proportional to 95,600 and 209,615

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Solution

The third proportional to 95,600 and 209,615 is: 459,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,600 : 209,615 = 209,615 : x
  2. Step 2: Convert to fraction form
    95,600/209,615 = 209,615/x
  3. Step 3: Cross multiply
    95,600x = 209,615 × 209,615
  4. Step 4: Simplify right side
    95,600x = 43,938,448,225
  5. Step 5: Solve for x
    x = 43,938,448,225/95,600
  6. Step 6: Final answer
    x = 459,607.20

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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.