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Finding the Third Proportional to 46,804.50 and 100,233

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Solution

The third proportional to 46,804.50 and 100,233 is: 214,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,804.50 : 100,233 = 100,233 : x
  2. Step 2: Convert to fraction form
    46,804.50/100,233 = 100,233/x
  3. Step 3: Cross multiply
    46,804.50x = 100,233 × 100,233
  4. Step 4: Simplify right side
    46,804.50x = 10,046,654,289
  5. Step 5: Solve for x
    x = 10,046,654,289/46,804.50
  6. Step 6: Final answer
    x = 214,651.46

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