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Finding the Third Proportional to 90,695.95 and 192,202.56

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Solution

The third proportional to 90,695.95 and 192,202.56 is: 407,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,695.95 : 192,202.56 = 192,202.56 : x
  2. Step 2: Convert to fraction form
    90,695.95/192,202.56 = 192,202.56/x
  3. Step 3: Cross multiply
    90,695.95x = 192,202.56 × 192,202.56
  4. Step 4: Simplify right side
    90,695.95x = 36,941,823,529.98
  5. Step 5: Solve for x
    x = 36,941,823,529.98/90,695.95
  6. Step 6: Final answer
    x = 407,315.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.