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Finding the Third Proportional to 91,017.75 and 199,531.31

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Solution

The third proportional to 91,017.75 and 199,531.31 is: 437,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,017.75 : 199,531.31 = 199,531.31 : x
  2. Step 2: Convert to fraction form
    91,017.75/199,531.31 = 199,531.31/x
  3. Step 3: Cross multiply
    91,017.75x = 199,531.31 × 199,531.31
  4. Step 4: Simplify right side
    91,017.75x = 39,812,744,667.97
  5. Step 5: Solve for x
    x = 39,812,744,667.97/91,017.75
  6. Step 6: Final answer
    x = 437,417.37

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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.