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Finding the Third Proportional to 48,713,234.25 and 106,001,961.75

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Solution

The third proportional to 48,713,234.25 and 106,001,961.75 is: 230,664,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713,234.25 : 106,001,961.75 = 106,001,961.75 : x
  2. Step 2: Convert to fraction form
    48,713,234.25/106,001,961.75 = 106,001,961.75/x
  3. Step 3: Cross multiply
    48,713,234.25x = 106,001,961.75 × 106,001,961.75
  4. Step 4: Simplify right side
    48,713,234.25x = 11,236,415,894,848,464
  5. Step 5: Solve for x
    x = 11,236,415,894,848,464/48,713,234.25
  6. Step 6: Final answer
    x = 230,664,542.56

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