Finding the Third Proportional to 102,770,841 and 242,528,743
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Solution
The third proportional to 102,770,841 and 242,528,743 is: 572,343,191.99
Step by Step Solution
- Step 1: Write the proportion equation
102,770,841 : 242,528,743 = 242,528,743 : x - Step 2: Convert to fraction form
102,770,841/242,528,743 = 242,528,743/x - Step 3: Cross multiply
102,770,841x = 242,528,743 × 242,528,743 - Step 4: Simplify right side
102,770,841x = 58,820,191,181,160,048 - Step 5: Solve for x
x = 58,820,191,181,160,048/102,770,841 - Step 6: Final answer
x = 572,343,191.99
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.