Finding the Third Proportional to 183,673,728,114 and 285,180,973,233
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Solution
The third proportional to 183,673,728,114 and 285,180,973,233 is: 442,786,174,861.35
Step by Step Solution
- Step 1: Write the proportion equation
183,673,728,114 : 285,180,973,233 = 285,180,973,233 : x - Step 2: Convert to fraction form
183,673,728,114/285,180,973,233 = 285,180,973,233/x - Step 3: Cross multiply
183,673,728,114x = 285,180,973,233 × 285,180,973,233 - Step 4: Simplify right side
183,673,728,114x = 81,328,187,494,121,059,909,632 - Step 5: Solve for x
x = 81,328,187,494,121,059,909,632/183,673,728,114 - Step 6: Final answer
x = 442,786,174,861.35
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.