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Finding the Third Proportional to 88,612 and 194,447

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Solution

The third proportional to 88,612 and 194,447 is: 426,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,612 : 194,447 = 194,447 : x
  2. Step 2: Convert to fraction form
    88,612/194,447 = 194,447/x
  3. Step 3: Cross multiply
    88,612x = 194,447 × 194,447
  4. Step 4: Simplify right side
    88,612x = 37,809,635,809
  5. Step 5: Solve for x
    x = 37,809,635,809/88,612
  6. Step 6: Final answer
    x = 426,687.53

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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.