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Finding the Third Proportional to 45,328 and 98,188

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Solution

The third proportional to 45,328 and 98,188 is: 212,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,328 : 98,188 = 98,188 : x
  2. Step 2: Convert to fraction form
    45,328/98,188 = 98,188/x
  3. Step 3: Cross multiply
    45,328x = 98,188 × 98,188
  4. Step 4: Simplify right side
    45,328x = 9,640,883,344
  5. Step 5: Solve for x
    x = 9,640,883,344/45,328
  6. Step 6: Final answer
    x = 212,691.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.