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Finding the Third Proportional to 46,259,221.25 and 102,858,517.75

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Solution

The third proportional to 46,259,221.25 and 102,858,517.75 is: 228,708,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,259,221.25 : 102,858,517.75 = 102,858,517.75 : x
  2. Step 2: Convert to fraction form
    46,259,221.25/102,858,517.75 = 102,858,517.75/x
  3. Step 3: Cross multiply
    46,259,221.25x = 102,858,517.75 × 102,858,517.75
  4. Step 4: Simplify right side
    46,259,221.25x = 10,579,874,673,727,066
  5. Step 5: Solve for x
    x = 10,579,874,673,727,066/46,259,221.25
  6. Step 6: Final answer
    x = 228,708,447.48

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.