Finding the Third Proportional to 231,117,172,134 and 468,732,833,652
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Solution
The third proportional to 231,117,172,134 and 468,732,833,652 is: 950,645,368,817.71
Step by Step Solution
- Step 1: Write the proportion equation
231,117,172,134 : 468,732,833,652 = 468,732,833,652 : x - Step 2: Convert to fraction form
231,117,172,134/468,732,833,652 = 468,732,833,652/x - Step 3: Cross multiply
231,117,172,134x = 468,732,833,652 × 468,732,833,652 - Step 4: Simplify right side
231,117,172,134x = 219,710,469,343,433,505,898,496 - Step 5: Solve for x
x = 219,710,469,343,433,505,898,496/231,117,172,134 - Step 6: Final answer
x = 950,645,368,817.71
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.