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Finding the Third Proportional to 88,039 and 191,797

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Solution

The third proportional to 88,039 and 191,797 is: 417,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,039 : 191,797 = 191,797 : x
  2. Step 2: Convert to fraction form
    88,039/191,797 = 191,797/x
  3. Step 3: Cross multiply
    88,039x = 191,797 × 191,797
  4. Step 4: Simplify right side
    88,039x = 36,786,089,209
  5. Step 5: Solve for x
    x = 36,786,089,209/88,039
  6. Step 6: Final answer
    x = 417,838.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.