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Finding the Third Proportional to 91,837 and 201,277

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Solution

The third proportional to 91,837 and 201,277 is: 441,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,837 : 201,277 = 201,277 : x
  2. Step 2: Convert to fraction form
    91,837/201,277 = 201,277/x
  3. Step 3: Cross multiply
    91,837x = 201,277 × 201,277
  4. Step 4: Simplify right side
    91,837x = 40,512,430,729
  5. Step 5: Solve for x
    x = 40,512,430,729/91,837
  6. Step 6: Final answer
    x = 441,134.08

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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.