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Finding the Third Proportional to 89,888 and 195,464

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Solution

The third proportional to 89,888 and 195,464 is: 425,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,888 : 195,464 = 195,464 : x
  2. Step 2: Convert to fraction form
    89,888/195,464 = 195,464/x
  3. Step 3: Cross multiply
    89,888x = 195,464 × 195,464
  4. Step 4: Simplify right side
    89,888x = 38,206,175,296
  5. Step 5: Solve for x
    x = 38,206,175,296/89,888
  6. Step 6: Final answer
    x = 425,042

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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.