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Finding the Third Proportional to 89,829 and 190,611

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Solution

The third proportional to 89,829 and 190,611 is: 404,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,829 : 190,611 = 190,611 : x
  2. Step 2: Convert to fraction form
    89,829/190,611 = 190,611/x
  3. Step 3: Cross multiply
    89,829x = 190,611 × 190,611
  4. Step 4: Simplify right side
    89,829x = 36,332,553,321
  5. Step 5: Solve for x
    x = 36,332,553,321/89,829
  6. Step 6: Final answer
    x = 404,463.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.