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Finding the Third Proportional to 94,098 and 201,839

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Solution

The third proportional to 94,098 and 201,839 is: 432,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,098 : 201,839 = 201,839 : x
  2. Step 2: Convert to fraction form
    94,098/201,839 = 201,839/x
  3. Step 3: Cross multiply
    94,098x = 201,839 × 201,839
  4. Step 4: Simplify right side
    94,098x = 40,738,981,921
  5. Step 5: Solve for x
    x = 40,738,981,921/94,098
  6. Step 6: Final answer
    x = 432,942.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.