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Finding the Third Proportional to 91,447.31 and 199,433.81

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Solution

The third proportional to 91,447.31 and 199,433.81 is: 434,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,447.31 : 199,433.81 = 199,433.81 : x
  2. Step 2: Convert to fraction form
    91,447.31/199,433.81 = 199,433.81/x
  3. Step 3: Cross multiply
    91,447.31x = 199,433.81 × 199,433.81
  4. Step 4: Simplify right side
    91,447.31x = 39,773,845,568.29
  5. Step 5: Solve for x
    x = 39,773,845,568.29/91,447.31
  6. Step 6: Final answer
    x = 434,937.28

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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.