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Finding the Third Proportional to 46,183.50 and 99,490.78

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Solution

The third proportional to 46,183.50 and 99,490.78 is: 214,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,183.50 : 99,490.78 = 99,490.78 : x
  2. Step 2: Convert to fraction form
    46,183.50/99,490.78 = 99,490.78/x
  3. Step 3: Cross multiply
    46,183.50x = 99,490.78 × 99,490.78
  4. Step 4: Simplify right side
    46,183.50x = 9,898,415,553.74
  5. Step 5: Solve for x
    x = 9,898,415,553.74/46,183.50
  6. Step 6: Final answer
    x = 214,327.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.