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Finding the Third Proportional to 198,641,073 and 427,640,694

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Solution

The third proportional to 198,641,073 and 427,640,694 is: 920,638,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641,073 : 427,640,694 = 427,640,694 : x
  2. Step 2: Convert to fraction form
    198,641,073/427,640,694 = 427,640,694/x
  3. Step 3: Cross multiply
    198,641,073x = 427,640,694 × 427,640,694
  4. Step 4: Simplify right side
    198,641,073x = 182,876,563,164,801,632
  5. Step 5: Solve for x
    x = 182,876,563,164,801,632/198,641,073
  6. Step 6: Final answer
    x = 920,638,216.47

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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.