Finding the Third Proportional to 226,486,724,259 and 339,398,782,068
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Solution
The third proportional to 226,486,724,259 and 339,398,782,068 is: 508,601,701,252.54
Step by Step Solution
- Step 1: Write the proportion equation
226,486,724,259 : 339,398,782,068 = 339,398,782,068 : x - Step 2: Convert to fraction form
226,486,724,259/339,398,782,068 = 339,398,782,068/x - Step 3: Cross multiply
226,486,724,259x = 339,398,782,068 × 339,398,782,068 - Step 4: Simplify right side
226,486,724,259x = 115,191,533,269,241,756,123,136 - Step 5: Solve for x
x = 115,191,533,269,241,756,123,136/226,486,724,259 - Step 6: Final answer
x = 508,601,701,252.54
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.