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Finding the Third Proportional to 91,757.25 and 201,010.50

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Solution

The third proportional to 91,757.25 and 201,010.50 is: 440,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,757.25 : 201,010.50 = 201,010.50 : x
  2. Step 2: Convert to fraction form
    91,757.25/201,010.50 = 201,010.50/x
  3. Step 3: Cross multiply
    91,757.25x = 201,010.50 × 201,010.50
  4. Step 4: Simplify right side
    91,757.25x = 40,405,221,110.25
  5. Step 5: Solve for x
    x = 40,405,221,110.25/91,757.25
  6. Step 6: Final answer
    x = 440,349.09

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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.