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Finding the Third Proportional to 91,725.75 and 201,493.13

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Solution

The third proportional to 91,725.75 and 201,493.13 is: 442,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,725.75 : 201,493.13 = 201,493.13 : x
  2. Step 2: Convert to fraction form
    91,725.75/201,493.13 = 201,493.13/x
  3. Step 3: Cross multiply
    91,725.75x = 201,493.13 × 201,493.13
  4. Step 4: Simplify right side
    91,725.75x = 40,599,479,422.27
  5. Step 5: Solve for x
    x = 40,599,479,422.27/91,725.75
  6. Step 6: Final answer
    x = 442,618.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.