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Finding the Third Proportional to 91,717.75 and 200,248.25

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Solution

The third proportional to 91,717.75 and 200,248.25 is: 437,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,717.75 : 200,248.25 = 200,248.25 : x
  2. Step 2: Convert to fraction form
    91,717.75/200,248.25 = 200,248.25/x
  3. Step 3: Cross multiply
    91,717.75x = 200,248.25 × 200,248.25
  4. Step 4: Simplify right side
    91,717.75x = 40,099,361,628.06
  5. Step 5: Solve for x
    x = 40,099,361,628.06/91,717.75
  6. Step 6: Final answer
    x = 437,203.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.