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Finding the Third Proportional to 88,848 and 192,438

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Solution

The third proportional to 88,848 and 192,438 is: 416,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,848 : 192,438 = 192,438 : x
  2. Step 2: Convert to fraction form
    88,848/192,438 = 192,438/x
  3. Step 3: Cross multiply
    88,848x = 192,438 × 192,438
  4. Step 4: Simplify right side
    88,848x = 37,032,383,844
  5. Step 5: Solve for x
    x = 37,032,383,844/88,848
  6. Step 6: Final answer
    x = 416,806.05

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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.