Finding the Third Proportional to 188,771,822,144 and 404,469,340,288
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Solution
The third proportional to 188,771,822,144 and 404,469,340,288 is: 866,630,651,624.56
Step by Step Solution
- Step 1: Write the proportion equation
188,771,822,144 : 404,469,340,288 = 404,469,340,288 : x - Step 2: Convert to fraction form
188,771,822,144/404,469,340,288 = 404,469,340,288/x - Step 3: Cross multiply
188,771,822,144x = 404,469,340,288 × 404,469,340,288 - Step 4: Simplify right side
188,771,822,144x = 163,595,447,233,009,929,945,088 - Step 5: Solve for x
x = 163,595,447,233,009,929,945,088/188,771,822,144 - Step 6: Final answer
x = 866,630,651,624.56
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.