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Finding the Third Proportional to 91,233 and 199,955.25

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Solution

The third proportional to 91,233 and 199,955.25 is: 438,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,233 : 199,955.25 = 199,955.25 : x
  2. Step 2: Convert to fraction form
    91,233/199,955.25 = 199,955.25/x
  3. Step 3: Cross multiply
    91,233x = 199,955.25 × 199,955.25
  4. Step 4: Simplify right side
    91,233x = 39,982,102,002.56
  5. Step 5: Solve for x
    x = 39,982,102,002.56/91,233
  6. Step 6: Final answer
    x = 438,241.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.