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Finding the Third Proportional to 105,863,375.25 and 229,314,103.31

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Solution

The third proportional to 105,863,375.25 and 229,314,103.31 is: 496,724,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863,375.25 : 229,314,103.31 = 229,314,103.31 : x
  2. Step 2: Convert to fraction form
    105,863,375.25/229,314,103.31 = 229,314,103.31/x
  3. Step 3: Cross multiply
    105,863,375.25x = 229,314,103.31 × 229,314,103.31
  4. Step 4: Simplify right side
    105,863,375.25x = 52,584,957,978,015,920
  5. Step 5: Solve for x
    x = 52,584,957,978,015,920/105,863,375.25
  6. Step 6: Final answer
    x = 496,724,744.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.