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Finding the Third Proportional to 94,838 and 192,403

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Solution

The third proportional to 94,838 and 192,403 is: 390,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,838 : 192,403 = 192,403 : x
  2. Step 2: Convert to fraction form
    94,838/192,403 = 192,403/x
  3. Step 3: Cross multiply
    94,838x = 192,403 × 192,403
  4. Step 4: Simplify right side
    94,838x = 37,018,914,409
  5. Step 5: Solve for x
    x = 37,018,914,409/94,838
  6. Step 6: Final answer
    x = 390,338.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.