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Finding the Third Proportional to 90,995.43 and 189,256.66

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Solution

The third proportional to 90,995.43 and 189,256.66 is: 393,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,995.43 : 189,256.66 = 189,256.66 : x
  2. Step 2: Convert to fraction form
    90,995.43/189,256.66 = 189,256.66/x
  3. Step 3: Cross multiply
    90,995.43x = 189,256.66 × 189,256.66
  4. Step 4: Simplify right side
    90,995.43x = 35,818,082,674.22
  5. Step 5: Solve for x
    x = 35,818,082,674.22/90,995.43
  6. Step 6: Final answer
    x = 393,625.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.