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Finding the Third Proportional to 89,896 and 195,344

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Solution

The third proportional to 89,896 and 195,344 is: 424,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,896 : 195,344 = 195,344 : x
  2. Step 2: Convert to fraction form
    89,896/195,344 = 195,344/x
  3. Step 3: Cross multiply
    89,896x = 195,344 × 195,344
  4. Step 4: Simplify right side
    89,896x = 38,159,278,336
  5. Step 5: Solve for x
    x = 38,159,278,336/89,896
  6. Step 6: Final answer
    x = 424,482.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.