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Finding the Third Proportional to 190,149,546 and 416,752,008

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Solution

The third proportional to 190,149,546 and 416,752,008 is: 913,398,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149,546 : 416,752,008 = 416,752,008 : x
  2. Step 2: Convert to fraction form
    190,149,546/416,752,008 = 416,752,008/x
  3. Step 3: Cross multiply
    190,149,546x = 416,752,008 × 416,752,008
  4. Step 4: Simplify right side
    190,149,546x = 173,682,236,172,032,064
  5. Step 5: Solve for x
    x = 173,682,236,172,032,064/190,149,546
  6. Step 6: Final answer
    x = 913,398,111.25

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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.