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Finding the Third Proportional to 92,097 and 197,262

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Solution

The third proportional to 92,097 and 197,262 is: 422,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097 : 197,262 = 197,262 : x
  2. Step 2: Convert to fraction form
    92,097/197,262 = 197,262/x
  3. Step 3: Cross multiply
    92,097x = 197,262 × 197,262
  4. Step 4: Simplify right side
    92,097x = 38,912,296,644
  5. Step 5: Solve for x
    x = 38,912,296,644/92,097
  6. Step 6: Final answer
    x = 422,514.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.