Finding the Third Proportional to 143,510,314,310 and 307,490,415,229
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Solution
The third proportional to 143,510,314,310 and 307,490,415,229 is: 658,840,139,207.43
Step by Step Solution
- Step 1: Write the proportion equation
143,510,314,310 : 307,490,415,229 = 307,490,415,229 : x - Step 2: Convert to fraction form
143,510,314,310/307,490,415,229 = 307,490,415,229/x - Step 3: Cross multiply
143,510,314,310x = 307,490,415,229 × 307,490,415,229 - Step 4: Simplify right side
143,510,314,310x = 94,550,355,457,702,839,189,504 - Step 5: Solve for x
x = 94,550,355,457,702,839,189,504/143,510,314,310 - Step 6: Final answer
x = 658,840,139,207.43
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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.