Finding the Third Proportional to 180,376,216 and 278,847,602
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Solution
The third proportional to 180,376,216 and 278,847,602 is: 431,076,706.59
Step by Step Solution
- Step 1: Write the proportion equation
180,376,216 : 278,847,602 = 278,847,602 : x - Step 2: Convert to fraction form
180,376,216/278,847,602 = 278,847,602/x - Step 3: Cross multiply
180,376,216x = 278,847,602 × 278,847,602 - Step 4: Simplify right side
180,376,216x = 77,755,985,141,150,400 - Step 5: Solve for x
x = 77,755,985,141,150,400/180,376,216 - Step 6: Final answer
x = 431,076,706.59
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.