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Finding the Third Proportional to 91,707.50 and 201,241.25

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Solution

The third proportional to 91,707.50 and 201,241.25 is: 441,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,707.50 : 201,241.25 = 201,241.25 : x
  2. Step 2: Convert to fraction form
    91,707.50/201,241.25 = 201,241.25/x
  3. Step 3: Cross multiply
    91,707.50x = 201,241.25 × 201,241.25
  4. Step 4: Simplify right side
    91,707.50x = 40,498,040,701.56
  5. Step 5: Solve for x
    x = 40,498,040,701.56/91,707.50
  6. Step 6: Final answer
    x = 441,600.09

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Why These Related Problems?

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