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Finding the Third Proportional to 94,038 and 192,396

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Solution

The third proportional to 94,038 and 192,396 is: 393,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,038 : 192,396 = 192,396 : x
  2. Step 2: Convert to fraction form
    94,038/192,396 = 192,396/x
  3. Step 3: Cross multiply
    94,038x = 192,396 × 192,396
  4. Step 4: Simplify right side
    94,038x = 37,016,220,816
  5. Step 5: Solve for x
    x = 37,016,220,816/94,038
  6. Step 6: Final answer
    x = 393,630.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.