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Finding the Third Proportional to 87,492.66 and 191,932.03

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Solution

The third proportional to 87,492.66 and 191,932.03 is: 421,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,492.66 : 191,932.03 = 191,932.03 : x
  2. Step 2: Convert to fraction form
    87,492.66/191,932.03 = 191,932.03/x
  3. Step 3: Cross multiply
    87,492.66x = 191,932.03 × 191,932.03
  4. Step 4: Simplify right side
    87,492.66x = 36,837,904,619.75
  5. Step 5: Solve for x
    x = 36,837,904,619.75/87,492.66
  6. Step 6: Final answer
    x = 421,039.96

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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.