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Finding the Third Proportional to 190,149,540 and 416,751,996

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Solution

The third proportional to 190,149,540 and 416,751,996 is: 913,398,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149,540 : 416,751,996 = 416,751,996 : x
  2. Step 2: Convert to fraction form
    190,149,540/416,751,996 = 416,751,996/x
  3. Step 3: Cross multiply
    190,149,540x = 416,751,996 × 416,751,996
  4. Step 4: Simplify right side
    190,149,540x = 173,682,226,169,984,000
  5. Step 5: Solve for x
    x = 173,682,226,169,984,000/190,149,540
  6. Step 6: Final answer
    x = 913,398,087.47

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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.