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Finding the Third Proportional to 88,796 and 195,088

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Solution

The third proportional to 88,796 and 195,088 is: 428,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,796 : 195,088 = 195,088 : x
  2. Step 2: Convert to fraction form
    88,796/195,088 = 195,088/x
  3. Step 3: Cross multiply
    88,796x = 195,088 × 195,088
  4. Step 4: Simplify right side
    88,796x = 38,059,327,744
  5. Step 5: Solve for x
    x = 38,059,327,744/88,796
  6. Step 6: Final answer
    x = 428,615.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.