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Finding the Third Proportional to 89,379 and 195,829

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Solution

The third proportional to 89,379 and 195,829 is: 429,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,379 : 195,829 = 195,829 : x
  2. Step 2: Convert to fraction form
    89,379/195,829 = 195,829/x
  3. Step 3: Cross multiply
    89,379x = 195,829 × 195,829
  4. Step 4: Simplify right side
    89,379x = 38,348,997,241
  5. Step 5: Solve for x
    x = 38,348,997,241/89,379
  6. Step 6: Final answer
    x = 429,060.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.