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Finding the Third Proportional to 91,029.75 and 198,036.75

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Solution

The third proportional to 91,029.75 and 198,036.75 is: 430,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,029.75 : 198,036.75 = 198,036.75 : x
  2. Step 2: Convert to fraction form
    91,029.75/198,036.75 = 198,036.75/x
  3. Step 3: Cross multiply
    91,029.75x = 198,036.75 × 198,036.75
  4. Step 4: Simplify right side
    91,029.75x = 39,218,554,350.56
  5. Step 5: Solve for x
    x = 39,218,554,350.56/91,029.75
  6. Step 6: Final answer
    x = 430,832.28

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