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Finding the Third Proportional to 319,100,896 and 685,871,088

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Solution

The third proportional to 319,100,896 and 685,871,088 is: 1,474,201,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,100,896 : 685,871,088 = 685,871,088 : x
  2. Step 2: Convert to fraction form
    319,100,896/685,871,088 = 685,871,088/x
  3. Step 3: Cross multiply
    319,100,896x = 685,871,088 × 685,871,088
  4. Step 4: Simplify right side
    319,100,896x = 470,419,149,354,303,744
  5. Step 5: Solve for x
    x = 470,419,149,354,303,744/319,100,896
  6. Step 6: Final answer
    x = 1,474,201,906.83

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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.