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Finding the Third Proportional to 181,262,756 and 277,095,669

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Solution

The third proportional to 181,262,756 and 277,095,669 is: 423,595,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,262,756 : 277,095,669 = 277,095,669 : x
  2. Step 2: Convert to fraction form
    181,262,756/277,095,669 = 277,095,669/x
  3. Step 3: Cross multiply
    181,262,756x = 277,095,669 × 277,095,669
  4. Step 4: Simplify right side
    181,262,756x = 76,782,009,778,557,568
  5. Step 5: Solve for x
    x = 76,782,009,778,557,568/181,262,756
  6. Step 6: Final answer
    x = 423,595,069.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.