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Finding the Third Proportional to 91,600 and 193,036

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Solution

The third proportional to 91,600 and 193,036 is: 406,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,600 : 193,036 = 193,036 : x
  2. Step 2: Convert to fraction form
    91,600/193,036 = 193,036/x
  3. Step 3: Cross multiply
    91,600x = 193,036 × 193,036
  4. Step 4: Simplify right side
    91,600x = 37,262,897,296
  5. Step 5: Solve for x
    x = 37,262,897,296/91,600
  6. Step 6: Final answer
    x = 406,800.19

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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.