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Finding the Third Proportional to 53,978,431.69 and 117,540,783.38

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Solution

The third proportional to 53,978,431.69 and 117,540,783.38 is: 255,951,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978,431.69 : 117,540,783.38 = 117,540,783.38 : x
  2. Step 2: Convert to fraction form
    53,978,431.69/117,540,783.38 = 117,540,783.38/x
  3. Step 3: Cross multiply
    53,978,431.69x = 117,540,783.38 × 117,540,783.38
  4. Step 4: Simplify right side
    53,978,431.69x = 13,815,835,756,408,676
  5. Step 5: Solve for x
    x = 13,815,835,756,408,676/53,978,431.69
  6. Step 6: Final answer
    x = 255,951,040.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.