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Finding the Third Proportional to 100,593,032,485 and 204,141,939,813

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Solution

The third proportional to 100,593,032,485 and 204,141,939,813 is: 414,282,486,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593,032,485 : 204,141,939,813 = 204,141,939,813 : x
  2. Step 2: Convert to fraction form
    100,593,032,485/204,141,939,813 = 204,141,939,813/x
  3. Step 3: Cross multiply
    100,593,032,485x = 204,141,939,813 × 204,141,939,813
  4. Step 4: Simplify right side
    100,593,032,485x = 41,673,931,590,614,510,469,120
  5. Step 5: Solve for x
    x = 41,673,931,590,614,510,469,120/100,593,032,485
  6. Step 6: Final answer
    x = 414,282,486,183.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.