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Finding the Third Proportional to 91,540 and 198,032

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Solution

The third proportional to 91,540 and 198,032 is: 428,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,540 : 198,032 = 198,032 : x
  2. Step 2: Convert to fraction form
    91,540/198,032 = 198,032/x
  3. Step 3: Cross multiply
    91,540x = 198,032 × 198,032
  4. Step 4: Simplify right side
    91,540x = 39,216,673,024
  5. Step 5: Solve for x
    x = 39,216,673,024/91,540
  6. Step 6: Final answer
    x = 428,410.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.