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Finding the Third Proportional to 91,512 and 194,688

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Solution

The third proportional to 91,512 and 194,688 is: 414,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,512 : 194,688 = 194,688 : x
  2. Step 2: Convert to fraction form
    91,512/194,688 = 194,688/x
  3. Step 3: Cross multiply
    91,512x = 194,688 × 194,688
  4. Step 4: Simplify right side
    91,512x = 37,903,417,344
  5. Step 5: Solve for x
    x = 37,903,417,344/91,512
  6. Step 6: Final answer
    x = 414,190.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.