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Finding the Third Proportional to 219,415,249.50 and 300,871,616.50

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Solution

The third proportional to 219,415,249.50 and 300,871,616.50 is: 412,568,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,415,249.50 : 300,871,616.50 = 300,871,616.50 : x
  2. Step 2: Convert to fraction form
    219,415,249.50/300,871,616.50 = 300,871,616.50/x
  3. Step 3: Cross multiply
    219,415,249.50x = 300,871,616.50 × 300,871,616.50
  4. Step 4: Simplify right side
    219,415,249.50x = 90,523,729,615,323,072
  5. Step 5: Solve for x
    x = 90,523,729,615,323,072/219,415,249.50
  6. Step 6: Final answer
    x = 412,568,086.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.