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Finding the Third Proportional to 90,435 and 195,936

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Solution

The third proportional to 90,435 and 195,936 is: 424,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,435 : 195,936 = 195,936 : x
  2. Step 2: Convert to fraction form
    90,435/195,936 = 195,936/x
  3. Step 3: Cross multiply
    90,435x = 195,936 × 195,936
  4. Step 4: Simplify right side
    90,435x = 38,390,916,096
  5. Step 5: Solve for x
    x = 38,390,916,096/90,435
  6. Step 6: Final answer
    x = 424,513.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.