Finding the Third Proportional to 258,500,187,716 and 565,696,144,376
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Solution
The third proportional to 258,500,187,716 and 565,696,144,376 is: 1,237,957,042,079.41
Step by Step Solution
- Step 1: Write the proportion equation
258,500,187,716 : 565,696,144,376 = 565,696,144,376 : x - Step 2: Convert to fraction form
258,500,187,716/565,696,144,376 = 565,696,144,376/x - Step 3: Cross multiply
258,500,187,716x = 565,696,144,376 × 565,696,144,376 - Step 4: Simplify right side
258,500,187,716x = 320,012,127,761,872,250,208,256 - Step 5: Solve for x
x = 320,012,127,761,872,250,208,256/258,500,187,716 - Step 6: Final answer
x = 1,237,957,042,079.41
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.