Finding the Third Proportional to 101,045,621,868 and 217,416,678,158
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Solution
The third proportional to 101,045,621,868 and 217,416,678,158 is: 467,808,610,283.09
Step by Step Solution
- Step 1: Write the proportion equation
101,045,621,868 : 217,416,678,158 = 217,416,678,158 : x - Step 2: Convert to fraction form
101,045,621,868/217,416,678,158 = 217,416,678,158/x - Step 3: Cross multiply
101,045,621,868x = 217,416,678,158 × 217,416,678,158 - Step 4: Simplify right side
101,045,621,868x = 47,270,011,941,259,357,192,192 - Step 5: Solve for x
x = 47,270,011,941,259,357,192,192/101,045,621,868 - Step 6: Final answer
x = 467,808,610,283.09
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.