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Finding the Third Proportional to 49,735,311.75 and 107,028,893.25

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Solution

The third proportional to 49,735,311.75 and 107,028,893.25 is: 230,322,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,311.75 : 107,028,893.25 = 107,028,893.25 : x
  2. Step 2: Convert to fraction form
    49,735,311.75/107,028,893.25 = 107,028,893.25/x
  3. Step 3: Cross multiply
    49,735,311.75x = 107,028,893.25 × 107,028,893.25
  4. Step 4: Simplify right side
    49,735,311.75x = 11,455,183,990,319,896
  5. Step 5: Solve for x
    x = 11,455,183,990,319,896/49,735,311.75
  6. Step 6: Final answer
    x = 230,322,955.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.