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Finding the Third Proportional to 53,477.09 and 116,190.07

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Solution

The third proportional to 53,477.09 and 116,190.07 is: 252,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,477.09 : 116,190.07 = 116,190.07 : x
  2. Step 2: Convert to fraction form
    53,477.09/116,190.07 = 116,190.07/x
  3. Step 3: Cross multiply
    53,477.09x = 116,190.07 × 116,190.07
  4. Step 4: Simplify right side
    53,477.09x = 13,500,132,439.22
  5. Step 5: Solve for x
    x = 13,500,132,439.22/53,477.09
  6. Step 6: Final answer
    x = 252,447.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.