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Finding the Third Proportional to 91,716.50 and 200,802.75

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Solution

The third proportional to 91,716.50 and 200,802.75 is: 439,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,716.50 : 200,802.75 = 200,802.75 : x
  2. Step 2: Convert to fraction form
    91,716.50/200,802.75 = 200,802.75/x
  3. Step 3: Cross multiply
    91,716.50x = 200,802.75 × 200,802.75
  4. Step 4: Simplify right side
    91,716.50x = 40,321,744,407.56
  5. Step 5: Solve for x
    x = 40,321,744,407.56/91,716.50
  6. Step 6: Final answer
    x = 439,634.57

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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.