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Finding the Third Proportional to 97,074 and 198,852

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Solution

The third proportional to 97,074 and 198,852 is: 407,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,074 : 198,852 = 198,852 : x
  2. Step 2: Convert to fraction form
    97,074/198,852 = 198,852/x
  3. Step 3: Cross multiply
    97,074x = 198,852 × 198,852
  4. Step 4: Simplify right side
    97,074x = 39,542,117,904
  5. Step 5: Solve for x
    x = 39,542,117,904/97,074
  6. Step 6: Final answer
    x = 407,339.95

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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.