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Finding the Third Proportional to 99,844 and 218,174

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Solution

The third proportional to 99,844 and 218,174 is: 476,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,844 : 218,174 = 218,174 : x
  2. Step 2: Convert to fraction form
    99,844/218,174 = 218,174/x
  3. Step 3: Cross multiply
    99,844x = 218,174 × 218,174
  4. Step 4: Simplify right side
    99,844x = 47,599,894,276
  5. Step 5: Solve for x
    x = 47,599,894,276/99,844
  6. Step 6: Final answer
    x = 476,742.66

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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.