Finding the Third Proportional to 236,773,305,435.10 and 486,098,653,555.12
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Solution
The third proportional to 236,773,305,435.10 and 486,098,653,555.12 is: 997,966,812,829.20
Step by Step Solution
- Step 1: Write the proportion equation
236,773,305,435.10 : 486,098,653,555.12 = 486,098,653,555.12 : x - Step 2: Convert to fraction form
236,773,305,435.10/486,098,653,555.12 = 486,098,653,555.12/x - Step 3: Cross multiply
236,773,305,435.10x = 486,098,653,555.12 × 486,098,653,555.12 - Step 4: Simplify right side
236,773,305,435.10x = 236,291,900,988,100,578,377,728 - Step 5: Solve for x
x = 236,291,900,988,100,578,377,728/236,773,305,435.10 - Step 6: Final answer
x = 997,966,812,829.20
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.