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Finding the Third Proportional to 88,057.13 and 192,562.31

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Solution

The third proportional to 88,057.13 and 192,562.31 is: 421,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,057.13 : 192,562.31 = 192,562.31 : x
  2. Step 2: Convert to fraction form
    88,057.13/192,562.31 = 192,562.31/x
  3. Step 3: Cross multiply
    88,057.13x = 192,562.31 × 192,562.31
  4. Step 4: Simplify right side
    88,057.13x = 37,080,244,195.35
  5. Step 5: Solve for x
    x = 37,080,244,195.35/88,057.13
  6. Step 6: Final answer
    x = 421,093.06

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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.