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Finding the Third Proportional to 91,062 and 198,728

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Solution

The third proportional to 91,062 and 198,728 is: 433,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,062 : 198,728 = 198,728 : x
  2. Step 2: Convert to fraction form
    91,062/198,728 = 198,728/x
  3. Step 3: Cross multiply
    91,062x = 198,728 × 198,728
  4. Step 4: Simplify right side
    91,062x = 39,492,817,984
  5. Step 5: Solve for x
    x = 39,492,817,984/91,062
  6. Step 6: Final answer
    x = 433,691.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.