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Finding the Third Proportional to 91,353.75 and 199,307.25

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Solution

The third proportional to 91,353.75 and 199,307.25 is: 434,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,353.75 : 199,307.25 = 199,307.25 : x
  2. Step 2: Convert to fraction form
    91,353.75/199,307.25 = 199,307.25/x
  3. Step 3: Cross multiply
    91,353.75x = 199,307.25 × 199,307.25
  4. Step 4: Simplify right side
    91,353.75x = 39,723,379,902.56
  5. Step 5: Solve for x
    x = 39,723,379,902.56/91,353.75
  6. Step 6: Final answer
    x = 434,830.32

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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.