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Finding the Third Proportional to 47,615 and 97,414

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Solution

The third proportional to 47,615 and 97,414 is: 199,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,615 : 97,414 = 97,414 : x
  2. Step 2: Convert to fraction form
    47,615/97,414 = 97,414/x
  3. Step 3: Cross multiply
    47,615x = 97,414 × 97,414
  4. Step 4: Simplify right side
    47,615x = 9,489,487,396
  5. Step 5: Solve for x
    x = 9,489,487,396/47,615
  6. Step 6: Final answer
    x = 199,296.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.