Finding the Third Proportional to 97,314 and 201,918
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Solution
The third proportional to 97,314 and 201,918 is: 418,962.11
Step by Step Solution
- Step 1: Write the proportion equation
97,314 : 201,918 = 201,918 : x - Step 2: Convert to fraction form
97,314/201,918 = 201,918/x - Step 3: Cross multiply
97,314x = 201,918 × 201,918 - Step 4: Simplify right side
97,314x = 40,770,878,724 - Step 5: Solve for x
x = 40,770,878,724/97,314 - Step 6: Final answer
x = 418,962.11
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.