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Finding the Third Proportional to 188,185,112 and 407,640,770

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Solution

The third proportional to 188,185,112 and 407,640,770 is: 883,018,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,185,112 : 407,640,770 = 407,640,770 : x
  2. Step 2: Convert to fraction form
    188,185,112/407,640,770 = 407,640,770/x
  3. Step 3: Cross multiply
    188,185,112x = 407,640,770 × 407,640,770
  4. Step 4: Simplify right side
    188,185,112x = 166,170,997,366,192,896
  5. Step 5: Solve for x
    x = 166,170,997,366,192,896/188,185,112
  6. Step 6: Final answer
    x = 883,018,829.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.