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Finding the Third Proportional to 90,178 and 193,922.75

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Solution

The third proportional to 90,178 and 193,922.75 is: 417,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,178 : 193,922.75 = 193,922.75 : x
  2. Step 2: Convert to fraction form
    90,178/193,922.75 = 193,922.75/x
  3. Step 3: Cross multiply
    90,178x = 193,922.75 × 193,922.75
  4. Step 4: Simplify right side
    90,178x = 37,606,032,967.56
  5. Step 5: Solve for x
    x = 37,606,032,967.56/90,178
  6. Step 6: Final answer
    x = 417,020.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.