Finding the Third Proportional to 231,107,684 and 470,286,616
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Solution
The third proportional to 231,107,684 and 470,286,616 is: 956,997,609.78
Step by Step Solution
- Step 1: Write the proportion equation
231,107,684 : 470,286,616 = 470,286,616 : x - Step 2: Convert to fraction form
231,107,684/470,286,616 = 470,286,616/x - Step 3: Cross multiply
231,107,684x = 470,286,616 × 470,286,616 - Step 4: Simplify right side
231,107,684x = 221,169,501,188,731,456 - Step 5: Solve for x
x = 221,169,501,188,731,456/231,107,684 - Step 6: Final answer
x = 956,997,609.78
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.