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Finding the Third Proportional to 82,356,228 and 177,476,868

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Solution

The third proportional to 82,356,228 and 177,476,868 is: 382,460,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356,228 : 177,476,868 = 177,476,868 : x
  2. Step 2: Convert to fraction form
    82,356,228/177,476,868 = 177,476,868/x
  3. Step 3: Cross multiply
    82,356,228x = 177,476,868 × 177,476,868
  4. Step 4: Simplify right side
    82,356,228x = 31,498,038,675,089,424
  5. Step 5: Solve for x
    x = 31,498,038,675,089,424/82,356,228
  6. Step 6: Final answer
    x = 382,460,919.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.