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Finding the Third Proportional to 91,114.88 and 199,938.38

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Solution

The third proportional to 91,114.88 and 199,938.38 is: 438,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,114.88 : 199,938.38 = 199,938.38 : x
  2. Step 2: Convert to fraction form
    91,114.88/199,938.38 = 199,938.38/x
  3. Step 3: Cross multiply
    91,114.88x = 199,938.38 × 199,938.38
  4. Step 4: Simplify right side
    91,114.88x = 39,975,353,797.64
  5. Step 5: Solve for x
    x = 39,975,353,797.64/91,114.88
  6. Step 6: Final answer
    x = 438,735.76

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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.