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Finding the Third Proportional to 53,194.50 and 108,819

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Solution

The third proportional to 53,194.50 and 108,819 is: 222,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,194.50 : 108,819 = 108,819 : x
  2. Step 2: Convert to fraction form
    53,194.50/108,819 = 108,819/x
  3. Step 3: Cross multiply
    53,194.50x = 108,819 × 108,819
  4. Step 4: Simplify right side
    53,194.50x = 11,841,574,761
  5. Step 5: Solve for x
    x = 11,841,574,761/53,194.50
  6. Step 6: Final answer
    x = 222,609.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.