Finding the Third Proportional to 205,528,997,143.12 and 427,972,161,353.62
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Solution
The third proportional to 205,528,997,143.12 and 427,972,161,353.62 is: 891,164,621,243.91
Step by Step Solution
- Step 1: Write the proportion equation
205,528,997,143.12 : 427,972,161,353.62 = 427,972,161,353.62 : x - Step 2: Convert to fraction form
205,528,997,143.12/427,972,161,353.62 = 427,972,161,353.62/x - Step 3: Cross multiply
205,528,997,143.12x = 427,972,161,353.62 × 427,972,161,353.62 - Step 4: Simplify right side
205,528,997,143.12x = 183,160,170,893,688,931,614,720 - Step 5: Solve for x
x = 183,160,170,893,688,931,614,720/205,528,997,143.12 - Step 6: Final answer
x = 891,164,621,243.91
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.