Finding the Third Proportional to 187,436,211,282 and 285,539,701,564
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Solution
The third proportional to 187,436,211,282 and 285,539,701,564 is: 434,990,232,738.92
Step by Step Solution
- Step 1: Write the proportion equation
187,436,211,282 : 285,539,701,564 = 285,539,701,564 : x - Step 2: Convert to fraction form
187,436,211,282/285,539,701,564 = 285,539,701,564/x - Step 3: Cross multiply
187,436,211,282x = 285,539,701,564 × 285,539,701,564 - Step 4: Simplify right side
187,436,211,282x = 81,532,921,169,258,192,306,176 - Step 5: Solve for x
x = 81,532,921,169,258,192,306,176/187,436,211,282 - Step 6: Final answer
x = 434,990,232,738.92
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.