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Finding the Third Proportional to 46,744.50 and 100,131

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Solution

The third proportional to 46,744.50 and 100,131 is: 214,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,744.50 : 100,131 = 100,131 : x
  2. Step 2: Convert to fraction form
    46,744.50/100,131 = 100,131/x
  3. Step 3: Cross multiply
    46,744.50x = 100,131 × 100,131
  4. Step 4: Simplify right side
    46,744.50x = 10,026,217,161
  5. Step 5: Solve for x
    x = 10,026,217,161/46,744.50
  6. Step 6: Final answer
    x = 214,489.77

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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.