Finding the Third Proportional to 195,005,117,466 and 395,493,334,776
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Solution
The third proportional to 195,005,117,466 and 395,493,334,776 is: 802,107,041,521.68
Step by Step Solution
- Step 1: Write the proportion equation
195,005,117,466 : 395,493,334,776 = 395,493,334,776 : x - Step 2: Convert to fraction form
195,005,117,466/395,493,334,776 = 395,493,334,776/x - Step 3: Cross multiply
195,005,117,466x = 395,493,334,776 × 395,493,334,776 - Step 4: Simplify right side
195,005,117,466x = 156,414,977,852,241,220,730,880 - Step 5: Solve for x
x = 156,414,977,852,241,220,730,880/195,005,117,466 - Step 6: Final answer
x = 802,107,041,521.68
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.