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Finding the Third Proportional to 91,268.81 and 199,715.39

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Solution

The third proportional to 91,268.81 and 199,715.39 is: 437,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,268.81 : 199,715.39 = 199,715.39 : x
  2. Step 2: Convert to fraction form
    91,268.81/199,715.39 = 199,715.39/x
  3. Step 3: Cross multiply
    91,268.81x = 199,715.39 × 199,715.39
  4. Step 4: Simplify right side
    91,268.81x = 39,886,236,082.29
  5. Step 5: Solve for x
    x = 39,886,236,082.29/91,268.81
  6. Step 6: Final answer
    x = 437,019.37

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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.