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Finding the Third Proportional to 46,025.72 and 99,313.59

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Solution

The third proportional to 46,025.72 and 99,313.59 is: 214,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,025.72 : 99,313.59 = 99,313.59 : x
  2. Step 2: Convert to fraction form
    46,025.72/99,313.59 = 99,313.59/x
  3. Step 3: Cross multiply
    46,025.72x = 99,313.59 × 99,313.59
  4. Step 4: Simplify right side
    46,025.72x = 9,863,189,903.54
  5. Step 5: Solve for x
    x = 9,863,189,903.54/46,025.72
  6. Step 6: Final answer
    x = 214,297.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.