Finding the Third Proportional to 138,827,424,662 and 195,499,605,892
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Solution
The third proportional to 138,827,424,662 and 195,499,605,892 is: 275,306,525,327.98
Step by Step Solution
- Step 1: Write the proportion equation
138,827,424,662 : 195,499,605,892 = 195,499,605,892 : x - Step 2: Convert to fraction form
138,827,424,662/195,499,605,892 = 195,499,605,892/x - Step 3: Cross multiply
138,827,424,662x = 195,499,605,892 × 195,499,605,892 - Step 4: Simplify right side
138,827,424,662x = 38,220,095,903,927,317,299,200 - Step 5: Solve for x
x = 38,220,095,903,927,317,299,200/138,827,424,662 - Step 6: Final answer
x = 275,306,525,327.98
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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.