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Finding the Third Proportional to 86,517 and 191,821.50

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Solution

The third proportional to 86,517 and 191,821.50 is: 425,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,517 : 191,821.50 = 191,821.50 : x
  2. Step 2: Convert to fraction form
    86,517/191,821.50 = 191,821.50/x
  3. Step 3: Cross multiply
    86,517x = 191,821.50 × 191,821.50
  4. Step 4: Simplify right side
    86,517x = 36,795,487,862.25
  5. Step 5: Solve for x
    x = 36,795,487,862.25/86,517
  6. Step 6: Final answer
    x = 425,297.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.