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Finding the Third Proportional to 91,287 and 196,155

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Solution

The third proportional to 91,287 and 196,155 is: 421,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,287 : 196,155 = 196,155 : x
  2. Step 2: Convert to fraction form
    91,287/196,155 = 196,155/x
  3. Step 3: Cross multiply
    91,287x = 196,155 × 196,155
  4. Step 4: Simplify right side
    91,287x = 38,476,784,025
  5. Step 5: Solve for x
    x = 38,476,784,025/91,287
  6. Step 6: Final answer
    x = 421,492.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.