Finding the Third Proportional to 177,883,814,691 and 270,993,687,165
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Solution
The third proportional to 177,883,814,691 and 270,993,687,165 is: 412,840,137,315.75
Step by Step Solution
- Step 1: Write the proportion equation
177,883,814,691 : 270,993,687,165 = 270,993,687,165 : x - Step 2: Convert to fraction form
177,883,814,691/270,993,687,165 = 270,993,687,165/x - Step 3: Cross multiply
177,883,814,691x = 270,993,687,165 × 270,993,687,165 - Step 4: Simplify right side
177,883,814,691x = 73,437,578,483,281,883,561,984 - Step 5: Solve for x
x = 73,437,578,483,281,883,561,984/177,883,814,691 - Step 6: Final answer
x = 412,840,137,315.75
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.