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Finding the Third Proportional to 45,913,704.75 and 100,905,885

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Solution

The third proportional to 45,913,704.75 and 100,905,885 is: 221,763,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,913,704.75 : 100,905,885 = 100,905,885 : x
  2. Step 2: Convert to fraction form
    45,913,704.75/100,905,885 = 100,905,885/x
  3. Step 3: Cross multiply
    45,913,704.75x = 100,905,885 × 100,905,885
  4. Step 4: Simplify right side
    45,913,704.75x = 10,181,997,627,633,224
  5. Step 5: Solve for x
    x = 10,181,997,627,633,224/45,913,704.75
  6. Step 6: Final answer
    x = 221,763,799.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.