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Finding the Third Proportional to 88,456.50 and 186,897

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Solution

The third proportional to 88,456.50 and 186,897 is: 394,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,456.50 : 186,897 = 186,897 : x
  2. Step 2: Convert to fraction form
    88,456.50/186,897 = 186,897/x
  3. Step 3: Cross multiply
    88,456.50x = 186,897 × 186,897
  4. Step 4: Simplify right side
    88,456.50x = 34,930,488,609
  5. Step 5: Solve for x
    x = 34,930,488,609/88,456.50
  6. Step 6: Final answer
    x = 394,888.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.