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Finding the Third Proportional to 88,682 and 194,611

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Solution

The third proportional to 88,682 and 194,611 is: 427,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,682 : 194,611 = 194,611 : x
  2. Step 2: Convert to fraction form
    88,682/194,611 = 194,611/x
  3. Step 3: Cross multiply
    88,682x = 194,611 × 194,611
  4. Step 4: Simplify right side
    88,682x = 37,873,441,321
  5. Step 5: Solve for x
    x = 37,873,441,321/88,682
  6. Step 6: Final answer
    x = 427,070.22

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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.