Finding the Third Proportional to 256,368,319,582.50 and 376,872,802,593.75
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Solution
The third proportional to 256,368,319,582.50 and 376,872,802,593.75 is: 554,019,738,344.31
Step by Step Solution
- Step 1: Write the proportion equation
256,368,319,582.50 : 376,872,802,593.75 = 376,872,802,593.75 : x - Step 2: Convert to fraction form
256,368,319,582.50/376,872,802,593.75 = 376,872,802,593.75/x - Step 3: Cross multiply
256,368,319,582.50x = 376,872,802,593.75 × 376,872,802,593.75 - Step 4: Simplify right side
256,368,319,582.50x = 142,033,109,334,867,658,670,080 - Step 5: Solve for x
x = 142,033,109,334,867,658,670,080/256,368,319,582.50 - Step 6: Final answer
x = 554,019,738,344.31
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.