Finding the Third Proportional to 97,780 and 187,784
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Solution
The third proportional to 97,780 and 187,784 is: 360,634.39
Step by Step Solution
- Step 1: Write the proportion equation
97,780 : 187,784 = 187,784 : x - Step 2: Convert to fraction form
97,780/187,784 = 187,784/x - Step 3: Cross multiply
97,780x = 187,784 × 187,784 - Step 4: Simplify right side
97,780x = 35,262,830,656 - Step 5: Solve for x
x = 35,262,830,656/97,780 - Step 6: Final answer
x = 360,634.39
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.