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Finding the Third Proportional to 89,883.38 and 195,045.19

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Solution

The third proportional to 89,883.38 and 195,045.19 is: 423,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,883.38 : 195,045.19 = 195,045.19 : x
  2. Step 2: Convert to fraction form
    89,883.38/195,045.19 = 195,045.19/x
  3. Step 3: Cross multiply
    89,883.38x = 195,045.19 × 195,045.19
  4. Step 4: Simplify right side
    89,883.38x = 38,042,625,166.91
  5. Step 5: Solve for x
    x = 38,042,625,166.91/89,883.38
  6. Step 6: Final answer
    x = 423,244.29

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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.