Finding the Third Proportional to 193,696,281,052 and 419,623,557,342
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Solution
The third proportional to 193,696,281,052 and 419,623,557,342 is: 909,072,331,797.03
Step by Step Solution
- Step 1: Write the proportion equation
193,696,281,052 : 419,623,557,342 = 419,623,557,342 : x - Step 2: Convert to fraction form
193,696,281,052/419,623,557,342 = 419,623,557,342/x - Step 3: Cross multiply
193,696,281,052x = 419,623,557,342 × 419,623,557,342 - Step 4: Simplify right side
193,696,281,052x = 176,083,929,876,354,761,228,288 - Step 5: Solve for x
x = 176,083,929,876,354,761,228,288/193,696,281,052 - Step 6: Final answer
x = 909,072,331,797.03
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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.