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Finding the Third Proportional to 188,420,717 and 284,422,435.50

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Solution

The third proportional to 188,420,717 and 284,422,435.50 is: 429,337,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420,717 : 284,422,435.50 = 284,422,435.50 : x
  2. Step 2: Convert to fraction form
    188,420,717/284,422,435.50 = 284,422,435.50/x
  3. Step 3: Cross multiply
    188,420,717x = 284,422,435.50 × 284,422,435.50
  4. Step 4: Simplify right side
    188,420,717x = 80,896,121,815,751,664
  5. Step 5: Solve for x
    x = 80,896,121,815,751,664/188,420,717
  6. Step 6: Final answer
    x = 429,337,724.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.