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Finding the Third Proportional to 88,842 and 193,722

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Solution

The third proportional to 88,842 and 193,722 is: 422,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,842 : 193,722 = 193,722 : x
  2. Step 2: Convert to fraction form
    88,842/193,722 = 193,722/x
  3. Step 3: Cross multiply
    88,842x = 193,722 × 193,722
  4. Step 4: Simplify right side
    88,842x = 37,528,213,284
  5. Step 5: Solve for x
    x = 37,528,213,284/88,842
  6. Step 6: Final answer
    x = 422,415.22

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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.