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Finding the Third Proportional to 100,608 and 218,688

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Solution

The third proportional to 100,608 and 218,688 is: 475,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,608 : 218,688 = 218,688 : x
  2. Step 2: Convert to fraction form
    100,608/218,688 = 218,688/x
  3. Step 3: Cross multiply
    100,608x = 218,688 × 218,688
  4. Step 4: Simplify right side
    100,608x = 47,824,441,344
  5. Step 5: Solve for x
    x = 47,824,441,344/100,608
  6. Step 6: Final answer
    x = 475,354.26

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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.