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Finding the Third Proportional to 88,611 and 194,445

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Solution

The third proportional to 88,611 and 194,445 is: 426,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,611 : 194,445 = 194,445 : x
  2. Step 2: Convert to fraction form
    88,611/194,445 = 194,445/x
  3. Step 3: Cross multiply
    88,611x = 194,445 × 194,445
  4. Step 4: Simplify right side
    88,611x = 37,808,858,025
  5. Step 5: Solve for x
    x = 37,808,858,025/88,611
  6. Step 6: Final answer
    x = 426,683.57

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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.