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Finding the Third Proportional to 88,170.50 and 195,961

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Solution

The third proportional to 88,170.50 and 195,961 is: 435,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,170.50 : 195,961 = 195,961 : x
  2. Step 2: Convert to fraction form
    88,170.50/195,961 = 195,961/x
  3. Step 3: Cross multiply
    88,170.50x = 195,961 × 195,961
  4. Step 4: Simplify right side
    88,170.50x = 38,400,713,521
  5. Step 5: Solve for x
    x = 38,400,713,521/88,170.50
  6. Step 6: Final answer
    x = 435,527.91

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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.