Finding the Third Proportional to 205,801,092,444 and 445,792,028,282
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Solution
The third proportional to 205,801,092,444 and 445,792,028,282 is: 965,643,719,961.57
Step by Step Solution
- Step 1: Write the proportion equation
205,801,092,444 : 445,792,028,282 = 445,792,028,282 : x - Step 2: Convert to fraction form
205,801,092,444/445,792,028,282 = 445,792,028,282/x - Step 3: Cross multiply
205,801,092,444x = 445,792,028,282 × 445,792,028,282 - Step 4: Simplify right side
205,801,092,444x = 198,730,532,479,779,498,622,976 - Step 5: Solve for x
x = 198,730,532,479,779,498,622,976/205,801,092,444 - Step 6: Final answer
x = 965,643,719,961.57
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.