Finding the Third Proportional to 141,707,019,338 and 312,298,442,333
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Solution
The third proportional to 141,707,019,338 and 312,298,442,333 is: 688,253,253,362.06
Step by Step Solution
- Step 1: Write the proportion equation
141,707,019,338 : 312,298,442,333 = 312,298,442,333 : x - Step 2: Convert to fraction form
141,707,019,338/312,298,442,333 = 312,298,442,333/x - Step 3: Cross multiply
141,707,019,338x = 312,298,442,333 × 312,298,442,333 - Step 4: Simplify right side
141,707,019,338x = 97,530,317,083,618,123,448,320 - Step 5: Solve for x
x = 97,530,317,083,618,123,448,320/141,707,019,338 - Step 6: Final answer
x = 688,253,253,362.06
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.