Finding the Third Proportional to 283,157,733,208.50 and 606,704,010,417
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Solution
The third proportional to 283,157,733,208.50 and 606,704,010,417 is: 1,299,945,977,406.99
Step by Step Solution
- Step 1: Write the proportion equation
283,157,733,208.50 : 606,704,010,417 = 606,704,010,417 : x - Step 2: Convert to fraction form
283,157,733,208.50/606,704,010,417 = 606,704,010,417/x - Step 3: Cross multiply
283,157,733,208.50x = 606,704,010,417 × 606,704,010,417 - Step 4: Simplify right side
283,157,733,208.50x = 368,089,756,256,071,218,888,704 - Step 5: Solve for x
x = 368,089,756,256,071,218,888,704/283,157,733,208.50 - Step 6: Final answer
x = 1,299,945,977,406.99
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.