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Finding the Third Proportional to 53,978,442.75 and 117,540,805.50

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Solution

The third proportional to 53,978,442.75 and 117,540,805.50 is: 255,951,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978,442.75 : 117,540,805.50 = 117,540,805.50 : x
  2. Step 2: Convert to fraction form
    53,978,442.75/117,540,805.50 = 117,540,805.50/x
  3. Step 3: Cross multiply
    53,978,442.75x = 117,540,805.50 × 117,540,805.50
  4. Step 4: Simplify right side
    53,978,442.75x = 13,815,840,957,588,830
  5. Step 5: Solve for x
    x = 13,815,840,957,588,830/53,978,442.75
  6. Step 6: Final answer
    x = 255,951,084.43

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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.