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Finding the Third Proportional to 202,766,236.50 and 416,281,623

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Solution

The third proportional to 202,766,236.50 and 416,281,623 is: 854,631,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,766,236.50 : 416,281,623 = 416,281,623 : x
  2. Step 2: Convert to fraction form
    202,766,236.50/416,281,623 = 416,281,623/x
  3. Step 3: Cross multiply
    202,766,236.50x = 416,281,623 × 416,281,623
  4. Step 4: Simplify right side
    202,766,236.50x = 173,290,389,647,514,144
  5. Step 5: Solve for x
    x = 173,290,389,647,514,144/202,766,236.50
  6. Step 6: Final answer
    x = 854,631,385.57

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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.