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Finding the Third Proportional to 177,356,235 and 414,384,210

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Solution

The third proportional to 177,356,235 and 414,384,210 is: 968,188,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,356,235 : 414,384,210 = 414,384,210 : x
  2. Step 2: Convert to fraction form
    177,356,235/414,384,210 = 414,384,210/x
  3. Step 3: Cross multiply
    177,356,235x = 414,384,210 × 414,384,210
  4. Step 4: Simplify right side
    177,356,235x = 171,714,273,497,324,096
  5. Step 5: Solve for x
    x = 171,714,273,497,324,096/177,356,235
  6. Step 6: Final answer
    x = 968,188,535.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.