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Finding the Third Proportional to 89,900 and 195,352

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Solution

The third proportional to 89,900 and 195,352 is: 424,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,900 : 195,352 = 195,352 : x
  2. Step 2: Convert to fraction form
    89,900/195,352 = 195,352/x
  3. Step 3: Cross multiply
    89,900x = 195,352 × 195,352
  4. Step 4: Simplify right side
    89,900x = 38,162,403,904
  5. Step 5: Solve for x
    x = 38,162,403,904/89,900
  6. Step 6: Final answer
    x = 424,498.37

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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.