Finding the Third Proportional to 87,219,142,248 and 189,323,780,638
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Solution
The third proportional to 87,219,142,248 and 189,323,780,638 is: 410,959,027,929.30
Step by Step Solution
- Step 1: Write the proportion equation
87,219,142,248 : 189,323,780,638 = 189,323,780,638 : x - Step 2: Convert to fraction form
87,219,142,248/189,323,780,638 = 189,323,780,638/x - Step 3: Cross multiply
87,219,142,248x = 189,323,780,638 × 189,323,780,638 - Step 4: Simplify right side
87,219,142,248x = 35,843,493,915,065,541,722,112 - Step 5: Solve for x
x = 35,843,493,915,065,541,722,112/87,219,142,248 - Step 6: Final answer
x = 410,959,027,929.30
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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.