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Finding the Third Proportional to 89,646 and 195,593

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Solution

The third proportional to 89,646 and 195,593 is: 426,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,646 : 195,593 = 195,593 : x
  2. Step 2: Convert to fraction form
    89,646/195,593 = 195,593/x
  3. Step 3: Cross multiply
    89,646x = 195,593 × 195,593
  4. Step 4: Simplify right side
    89,646x = 38,256,621,649
  5. Step 5: Solve for x
    x = 38,256,621,649/89,646
  6. Step 6: Final answer
    x = 426,752.13

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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.