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Finding the Third Proportional to 91,605.94 and 198,875.25

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Solution

The third proportional to 91,605.94 and 198,875.25 is: 431,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,605.94 : 198,875.25 = 198,875.25 : x
  2. Step 2: Convert to fraction form
    91,605.94/198,875.25 = 198,875.25/x
  3. Step 3: Cross multiply
    91,605.94x = 198,875.25 × 198,875.25
  4. Step 4: Simplify right side
    91,605.94x = 39,551,365,062.56
  5. Step 5: Solve for x
    x = 39,551,365,062.56/91,605.94
  6. Step 6: Final answer
    x = 431,755.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.