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Finding the Third Proportional to 190,149,544 and 416,752,004

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Solution

The third proportional to 190,149,544 and 416,752,004 is: 913,398,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149,544 : 416,752,004 = 416,752,004 : x
  2. Step 2: Convert to fraction form
    190,149,544/416,752,004 = 416,752,004/x
  3. Step 3: Cross multiply
    190,149,544x = 416,752,004 × 416,752,004
  4. Step 4: Simplify right side
    190,149,544x = 173,682,232,838,016,000
  5. Step 5: Solve for x
    x = 173,682,232,838,016,000/190,149,544
  6. Step 6: Final answer
    x = 913,398,103.33

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