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Finding the Third Proportional to 89,310.50 and 192,643

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Solution

The third proportional to 89,310.50 and 192,643 is: 415,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,310.50 : 192,643 = 192,643 : x
  2. Step 2: Convert to fraction form
    89,310.50/192,643 = 192,643/x
  3. Step 3: Cross multiply
    89,310.50x = 192,643 × 192,643
  4. Step 4: Simplify right side
    89,310.50x = 37,111,325,449
  5. Step 5: Solve for x
    x = 37,111,325,449/89,310.50
  6. Step 6: Final answer
    x = 415,531.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.