Finding the Third Proportional to 107,070,824,190 and 160,181,720,334
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Solution
The third proportional to 107,070,824,190 and 160,181,720,334 is: 239,637,489,701.48
Step by Step Solution
- Step 1: Write the proportion equation
107,070,824,190 : 160,181,720,334 = 160,181,720,334 : x - Step 2: Convert to fraction form
107,070,824,190/160,181,720,334 = 160,181,720,334/x - Step 3: Cross multiply
107,070,824,190x = 160,181,720,334 × 160,181,720,334 - Step 4: Simplify right side
107,070,824,190x = 25,658,183,529,159,788,068,864 - Step 5: Solve for x
x = 25,658,183,529,159,788,068,864/107,070,824,190 - Step 6: Final answer
x = 239,637,489,701.48
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.