Finding the Third Proportional to 232,729,989.75 and 506,320,413.75
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Solution
The third proportional to 232,729,989.75 and 506,320,413.75 is: 1,101,535,567.70
Step by Step Solution
- Step 1: Write the proportion equation
232,729,989.75 : 506,320,413.75 = 506,320,413.75 : x - Step 2: Convert to fraction form
232,729,989.75/506,320,413.75 = 506,320,413.75/x - Step 3: Cross multiply
232,729,989.75x = 506,320,413.75 × 506,320,413.75 - Step 4: Simplify right side
232,729,989.75x = 256,360,361,379,971,200 - Step 5: Solve for x
x = 256,360,361,379,971,200/232,729,989.75 - Step 6: Final answer
x = 1,101,535,567.70
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.