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Finding the Third Proportional to 91,662.75 and 198,877.50

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Solution

The third proportional to 91,662.75 and 198,877.50 is: 431,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,662.75 : 198,877.50 = 198,877.50 : x
  2. Step 2: Convert to fraction form
    91,662.75/198,877.50 = 198,877.50/x
  3. Step 3: Cross multiply
    91,662.75x = 198,877.50 × 198,877.50
  4. Step 4: Simplify right side
    91,662.75x = 39,552,260,006.25
  5. Step 5: Solve for x
    x = 39,552,260,006.25/91,662.75
  6. Step 6: Final answer
    x = 431,497.64

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