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Finding the Third Proportional to 90,156 and 192,819

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Solution

The third proportional to 90,156 and 192,819 is: 412,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,156 : 192,819 = 192,819 : x
  2. Step 2: Convert to fraction form
    90,156/192,819 = 192,819/x
  3. Step 3: Cross multiply
    90,156x = 192,819 × 192,819
  4. Step 4: Simplify right side
    90,156x = 37,179,166,761
  5. Step 5: Solve for x
    x = 37,179,166,761/90,156
  6. Step 6: Final answer
    x = 412,387.05

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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.