Finding the Third Proportional to 101,993,210,184 and 218,314,042,147.50
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Solution
The third proportional to 101,993,210,184 and 218,314,042,147.50 is: 467,296,018,164.33
Step by Step Solution
- Step 1: Write the proportion equation
101,993,210,184 : 218,314,042,147.50 = 218,314,042,147.50 : x - Step 2: Convert to fraction form
101,993,210,184/218,314,042,147.50 = 218,314,042,147.50/x - Step 3: Cross multiply
101,993,210,184x = 218,314,042,147.50 × 218,314,042,147.50 - Step 4: Simplify right side
101,993,210,184x = 47,661,020,998,780,407,775,232 - Step 5: Solve for x
x = 47,661,020,998,780,407,775,232/101,993,210,184 - Step 6: Final answer
x = 467,296,018,164.33
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.