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Finding the Third Proportional to 90,840 and 199,176

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Solution

The third proportional to 90,840 and 199,176 is: 436,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,840 : 199,176 = 199,176 : x
  2. Step 2: Convert to fraction form
    90,840/199,176 = 199,176/x
  3. Step 3: Cross multiply
    90,840x = 199,176 × 199,176
  4. Step 4: Simplify right side
    90,840x = 39,671,078,976
  5. Step 5: Solve for x
    x = 39,671,078,976/90,840
  6. Step 6: Final answer
    x = 436,713.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.