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Finding the Third Proportional to 202,766,229.50 and 416,281,608.50

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Solution

The third proportional to 202,766,229.50 and 416,281,608.50 is: 854,631,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,766,229.50 : 416,281,608.50 = 416,281,608.50 : x
  2. Step 2: Convert to fraction form
    202,766,229.50/416,281,608.50 = 416,281,608.50/x
  3. Step 3: Cross multiply
    202,766,229.50x = 416,281,608.50 × 416,281,608.50
  4. Step 4: Simplify right side
    202,766,229.50x = 173,290,377,575,347,264
  5. Step 5: Solve for x
    x = 173,290,377,575,347,264/202,766,229.50
  6. Step 6: Final answer
    x = 854,631,355.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.