Finding the Third Proportional to 97,536 and 214,080
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Solution
The third proportional to 97,536 and 214,080 is: 469,880.31
Step by Step Solution
- Step 1: Write the proportion equation
97,536 : 214,080 = 214,080 : x - Step 2: Convert to fraction form
97,536/214,080 = 214,080/x - Step 3: Cross multiply
97,536x = 214,080 × 214,080 - Step 4: Simplify right side
97,536x = 45,830,246,400 - Step 5: Solve for x
x = 45,830,246,400/97,536 - Step 6: Final answer
x = 469,880.31
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.