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Finding the Third Proportional to 91,032 and 198,041

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Solution

The third proportional to 91,032 and 198,041 is: 430,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,032 : 198,041 = 198,041 : x
  2. Step 2: Convert to fraction form
    91,032/198,041 = 198,041/x
  3. Step 3: Cross multiply
    91,032x = 198,041 × 198,041
  4. Step 4: Simplify right side
    91,032x = 39,220,237,681
  5. Step 5: Solve for x
    x = 39,220,237,681/91,032
  6. Step 6: Final answer
    x = 430,840.12

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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.