Finding the Third Proportional to 138,827,424,655 and 195,499,605,881.50
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Solution
The third proportional to 138,827,424,655 and 195,499,605,881.50 is: 275,306,525,312.29
Step by Step Solution
- Step 1: Write the proportion equation
138,827,424,655 : 195,499,605,881.50 = 195,499,605,881.50 : x - Step 2: Convert to fraction form
138,827,424,655/195,499,605,881.50 = 195,499,605,881.50/x - Step 3: Cross multiply
138,827,424,655x = 195,499,605,881.50 × 195,499,605,881.50 - Step 4: Simplify right side
138,827,424,655x = 38,220,095,899,821,831,880,704 - Step 5: Solve for x
x = 38,220,095,899,821,831,880,704/138,827,424,655 - Step 6: Final answer
x = 275,306,525,312.29
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.