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Finding the Third Proportional to 21,190.83 and 46,149.12

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Solution

The third proportional to 21,190.83 and 46,149.12 is: 100,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.83 : 46,149.12 = 46,149.12 : x
  2. Step 2: Convert to fraction form
    21,190.83/46,149.12 = 46,149.12/x
  3. Step 3: Cross multiply
    21,190.83x = 46,149.12 × 46,149.12
  4. Step 4: Simplify right side
    21,190.83x = 2,129,741,017.19
  5. Step 5: Solve for x
    x = 2,129,741,017.19/21,190.83
  6. Step 6: Final answer
    x = 100,502.94

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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.