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Finding the Third Proportional to 91,194 and 186,897

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Solution

The third proportional to 91,194 and 186,897 is: 383,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,194 : 186,897 = 186,897 : x
  2. Step 2: Convert to fraction form
    91,194/186,897 = 186,897/x
  3. Step 3: Cross multiply
    91,194x = 186,897 × 186,897
  4. Step 4: Simplify right side
    91,194x = 34,930,488,609
  5. Step 5: Solve for x
    x = 34,930,488,609/91,194
  6. Step 6: Final answer
    x = 383,034.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.