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Finding the Third Proportional to 101,495 and 218,110

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Solution

The third proportional to 101,495 and 218,110 is: 468,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,495 : 218,110 = 218,110 : x
  2. Step 2: Convert to fraction form
    101,495/218,110 = 218,110/x
  3. Step 3: Cross multiply
    101,495x = 218,110 × 218,110
  4. Step 4: Simplify right side
    101,495x = 47,571,972,100
  5. Step 5: Solve for x
    x = 47,571,972,100/101,495
  6. Step 6: Final answer
    x = 468,712.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.