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Finding the Third Proportional to 188,945,517 and 282,434,611.50

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Solution

The third proportional to 188,945,517 and 282,434,611.50 is: 422,181,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,945,517 : 282,434,611.50 = 282,434,611.50 : x
  2. Step 2: Convert to fraction form
    188,945,517/282,434,611.50 = 282,434,611.50/x
  3. Step 3: Cross multiply
    188,945,517x = 282,434,611.50 × 282,434,611.50
  4. Step 4: Simplify right side
    188,945,517x = 79,769,309,773,155,936
  5. Step 5: Solve for x
    x = 79,769,309,773,155,936/188,945,517
  6. Step 6: Final answer
    x = 422,181,542.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.