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Finding the Third Proportional to 97,930 and 214,112

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Solution

The third proportional to 97,930 and 214,112 is: 468,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,930 : 214,112 = 214,112 : x
  2. Step 2: Convert to fraction form
    97,930/214,112 = 214,112/x
  3. Step 3: Cross multiply
    97,930x = 214,112 × 214,112
  4. Step 4: Simplify right side
    97,930x = 45,843,948,544
  5. Step 5: Solve for x
    x = 45,843,948,544/97,930
  6. Step 6: Final answer
    x = 468,129.77

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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.