Finding the Third Proportional to 78,078,096 and 169,596,900
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Solution
The third proportional to 78,078,096 and 169,596,900 is: 368,388,958.79
Step by Step Solution
- Step 1: Write the proportion equation
78,078,096 : 169,596,900 = 169,596,900 : x - Step 2: Convert to fraction form
78,078,096/169,596,900 = 169,596,900/x - Step 3: Cross multiply
78,078,096x = 169,596,900 × 169,596,900 - Step 4: Simplify right side
78,078,096x = 28,763,108,489,610,000 - Step 5: Solve for x
x = 28,763,108,489,610,000/78,078,096 - Step 6: Final answer
x = 368,388,958.79
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.