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Finding the Third Proportional to 97,794 and 214,596

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Solution

The third proportional to 97,794 and 214,596 is: 470,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794 : 214,596 = 214,596 : x
  2. Step 2: Convert to fraction form
    97,794/214,596 = 214,596/x
  3. Step 3: Cross multiply
    97,794x = 214,596 × 214,596
  4. Step 4: Simplify right side
    97,794x = 46,051,443,216
  5. Step 5: Solve for x
    x = 46,051,443,216/97,794
  6. Step 6: Final answer
    x = 470,902.54

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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.