Finding the Third Proportional to 139,653,244,280 and 306,344,076,016
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Solution
The third proportional to 139,653,244,280 and 306,344,076,016 is: 671,997,943,147.94
Step by Step Solution
- Step 1: Write the proportion equation
139,653,244,280 : 306,344,076,016 = 306,344,076,016 : x - Step 2: Convert to fraction form
139,653,244,280/306,344,076,016 = 306,344,076,016/x - Step 3: Cross multiply
139,653,244,280x = 306,344,076,016 × 306,344,076,016 - Step 4: Simplify right side
139,653,244,280x = 93,846,692,910,096,789,274,624 - Step 5: Solve for x
x = 93,846,692,910,096,789,274,624/139,653,244,280 - Step 6: Final answer
x = 671,997,943,147.94
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.