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Finding the Third Proportional to 53,394.09 and 117,446.44

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Solution

The third proportional to 53,394.09 and 117,446.44 is: 258,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,394.09 : 117,446.44 = 117,446.44 : x
  2. Step 2: Convert to fraction form
    53,394.09/117,446.44 = 117,446.44/x
  3. Step 3: Cross multiply
    53,394.09x = 117,446.44 × 117,446.44
  4. Step 4: Simplify right side
    53,394.09x = 13,793,665,681.44
  5. Step 5: Solve for x
    x = 13,793,665,681.44/53,394.09
  6. Step 6: Final answer
    x = 258,336.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.