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Finding the Third Proportional to 46,861.31 and 102,042.56

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Solution

The third proportional to 46,861.31 and 102,042.56 is: 222,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,861.31 : 102,042.56 = 102,042.56 : x
  2. Step 2: Convert to fraction form
    46,861.31/102,042.56 = 102,042.56/x
  3. Step 3: Cross multiply
    46,861.31x = 102,042.56 × 102,042.56
  4. Step 4: Simplify right side
    46,861.31x = 10,412,684,561.57
  5. Step 5: Solve for x
    x = 10,412,684,561.57/46,861.31
  6. Step 6: Final answer
    x = 222,202.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.