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Finding the Third Proportional to 89,763.75 and 195,882.75

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Solution

The third proportional to 89,763.75 and 195,882.75 is: 427,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,763.75 : 195,882.75 = 195,882.75 : x
  2. Step 2: Convert to fraction form
    89,763.75/195,882.75 = 195,882.75/x
  3. Step 3: Cross multiply
    89,763.75x = 195,882.75 × 195,882.75
  4. Step 4: Simplify right side
    89,763.75x = 38,370,051,747.56
  5. Step 5: Solve for x
    x = 38,370,051,747.56/89,763.75
  6. Step 6: Final answer
    x = 427,455.98

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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.