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Finding the Third Proportional to 105,296,040 and 234,789,330

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Solution

The third proportional to 105,296,040 and 234,789,330 is: 523,533,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,296,040 : 234,789,330 = 234,789,330 : x
  2. Step 2: Convert to fraction form
    105,296,040/234,789,330 = 234,789,330/x
  3. Step 3: Cross multiply
    105,296,040x = 234,789,330 × 234,789,330
  4. Step 4: Simplify right side
    105,296,040x = 55,126,029,481,848,896
  5. Step 5: Solve for x
    x = 55,126,029,481,848,896/105,296,040
  6. Step 6: Final answer
    x = 523,533,738.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.