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Finding the Third Proportional to 91,827 and 201,258

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Solution

The third proportional to 91,827 and 201,258 is: 441,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,827 : 201,258 = 201,258 : x
  2. Step 2: Convert to fraction form
    91,827/201,258 = 201,258/x
  3. Step 3: Cross multiply
    91,827x = 201,258 × 201,258
  4. Step 4: Simplify right side
    91,827x = 40,504,782,564
  5. Step 5: Solve for x
    x = 40,504,782,564/91,827
  6. Step 6: Final answer
    x = 441,098.83

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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.