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Finding the Third Proportional to 198,641,072.25 and 427,640,692.50

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Solution

The third proportional to 198,641,072.25 and 427,640,692.50 is: 920,638,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641,072.25 : 427,640,692.50 = 427,640,692.50 : x
  2. Step 2: Convert to fraction form
    198,641,072.25/427,640,692.50 = 427,640,692.50/x
  3. Step 3: Cross multiply
    198,641,072.25x = 427,640,692.50 × 427,640,692.50
  4. Step 4: Simplify right side
    198,641,072.25x = 182,876,561,881,879,552
  5. Step 5: Solve for x
    x = 182,876,561,881,879,552/198,641,072.25
  6. Step 6: Final answer
    x = 920,638,213.49

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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.