Finding the Third Proportional to 160,175,834,136 and 218,132,145,980
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Solution
The third proportional to 160,175,834,136 and 218,132,145,980 is: 297,058,750,257.17
Step by Step Solution
- Step 1: Write the proportion equation
160,175,834,136 : 218,132,145,980 = 218,132,145,980 : x - Step 2: Convert to fraction form
160,175,834,136/218,132,145,980 = 218,132,145,980/x - Step 3: Cross multiply
160,175,834,136x = 218,132,145,980 × 218,132,145,980 - Step 4: Simplify right side
160,175,834,136x = 47,581,633,109,840,027,975,680 - Step 5: Solve for x
x = 47,581,633,109,840,027,975,680/160,175,834,136 - Step 6: Final answer
x = 297,058,750,257.17
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.