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Finding the Third Proportional to 89,880.75 and 195,849

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Solution

The third proportional to 89,880.75 and 195,849 is: 426,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,880.75 : 195,849 = 195,849 : x
  2. Step 2: Convert to fraction form
    89,880.75/195,849 = 195,849/x
  3. Step 3: Cross multiply
    89,880.75x = 195,849 × 195,849
  4. Step 4: Simplify right side
    89,880.75x = 38,356,830,801
  5. Step 5: Solve for x
    x = 38,356,830,801/89,880.75
  6. Step 6: Final answer
    x = 426,752.46

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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.