Finding the Third Proportional to 87,219,142,239 and 189,323,780,622
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Solution
The third proportional to 87,219,142,239 and 189,323,780,622 is: 410,959,027,902.25
Step by Step Solution
- Step 1: Write the proportion equation
87,219,142,239 : 189,323,780,622 = 189,323,780,622 : x - Step 2: Convert to fraction form
87,219,142,239/189,323,780,622 = 189,323,780,622/x - Step 3: Cross multiply
87,219,142,239x = 189,323,780,622 × 189,323,780,622 - Step 4: Simplify right side
87,219,142,239x = 35,843,493,909,007,184,166,912 - Step 5: Solve for x
x = 35,843,493,909,007,184,166,912/87,219,142,239 - Step 6: Final answer
x = 410,959,027,902.25
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.