Finding the Third Proportional to 107,070,824,202 and 160,181,720,347
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Solution
The third proportional to 107,070,824,202 and 160,181,720,347 is: 239,637,489,713.52
Step by Step Solution
- Step 1: Write the proportion equation
107,070,824,202 : 160,181,720,347 = 160,181,720,347 : x - Step 2: Convert to fraction form
107,070,824,202/160,181,720,347 = 160,181,720,347/x - Step 3: Cross multiply
107,070,824,202x = 160,181,720,347 × 160,181,720,347 - Step 4: Simplify right side
107,070,824,202x = 25,658,183,533,324,513,837,056 - Step 5: Solve for x
x = 25,658,183,533,324,513,837,056/107,070,824,202 - Step 6: Final answer
x = 239,637,489,713.52
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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.