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Finding the Third Proportional to 90,156.38 and 192,819.94

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Solution

The third proportional to 90,156.38 and 192,819.94 is: 412,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,156.38 : 192,819.94 = 192,819.94 : x
  2. Step 2: Convert to fraction form
    90,156.38/192,819.94 = 192,819.94/x
  3. Step 3: Cross multiply
    90,156.38x = 192,819.94 × 192,819.94
  4. Step 4: Simplify right side
    90,156.38x = 37,179,528,297.50
  5. Step 5: Solve for x
    x = 37,179,528,297.50/90,156.38
  6. Step 6: Final answer
    x = 412,389.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.