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Finding the Third Proportional to 91,897 and 208,134

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Solution

The third proportional to 91,897 and 208,134 is: 471,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,897 : 208,134 = 208,134 : x
  2. Step 2: Convert to fraction form
    91,897/208,134 = 208,134/x
  3. Step 3: Cross multiply
    91,897x = 208,134 × 208,134
  4. Step 4: Simplify right side
    91,897x = 43,319,761,956
  5. Step 5: Solve for x
    x = 43,319,761,956/91,897
  6. Step 6: Final answer
    x = 471,394.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.