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Finding the Third Proportional to 57,485,785.50 and 126,100,975.50

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Solution

The third proportional to 57,485,785.50 and 126,100,975.50 is: 276,615,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,485,785.50 : 126,100,975.50 = 126,100,975.50 : x
  2. Step 2: Convert to fraction form
    57,485,785.50/126,100,975.50 = 126,100,975.50/x
  3. Step 3: Cross multiply
    57,485,785.50x = 126,100,975.50 × 126,100,975.50
  4. Step 4: Simplify right side
    57,485,785.50x = 15,901,456,022,051,600
  5. Step 5: Solve for x
    x = 15,901,456,022,051,600/57,485,785.50
  6. Step 6: Final answer
    x = 276,615,443.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.