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Finding the Third Proportional to 97,691 and 214,103

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Solution

The third proportional to 97,691 and 214,103 is: 469,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,691 : 214,103 = 214,103 : x
  2. Step 2: Convert to fraction form
    97,691/214,103 = 214,103/x
  3. Step 3: Cross multiply
    97,691x = 214,103 × 214,103
  4. Step 4: Simplify right side
    97,691x = 45,840,094,609
  5. Step 5: Solve for x
    x = 45,840,094,609/97,691
  6. Step 6: Final answer
    x = 469,235.60

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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.