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Finding the Third Proportional to 97,634 and 201,096

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Solution

The third proportional to 97,634 and 201,096 is: 414,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,634 : 201,096 = 201,096 : x
  2. Step 2: Convert to fraction form
    97,634/201,096 = 201,096/x
  3. Step 3: Cross multiply
    97,634x = 201,096 × 201,096
  4. Step 4: Simplify right side
    97,634x = 40,439,601,216
  5. Step 5: Solve for x
    x = 40,439,601,216/97,634
  6. Step 6: Final answer
    x = 414,195.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.