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Finding the Third Proportional to 97,710 and 214,122

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Solution

The third proportional to 97,710 and 214,122 is: 469,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,710 : 214,122 = 214,122 : x
  2. Step 2: Convert to fraction form
    97,710/214,122 = 214,122/x
  3. Step 3: Cross multiply
    97,710x = 214,122 × 214,122
  4. Step 4: Simplify right side
    97,710x = 45,848,230,884
  5. Step 5: Solve for x
    x = 45,848,230,884/97,710
  6. Step 6: Final answer
    x = 469,227.62

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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.