Finding the Third Proportional to 112,146,283,168 and 241,301,621,024
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Solution
The third proportional to 112,146,283,168 and 241,301,621,024 is: 519,201,088,649.41
Step by Step Solution
- Step 1: Write the proportion equation
112,146,283,168 : 241,301,621,024 = 241,301,621,024 : x - Step 2: Convert to fraction form
112,146,283,168/241,301,621,024 = 241,301,621,024/x - Step 3: Cross multiply
112,146,283,168x = 241,301,621,024 × 241,301,621,024 - Step 4: Simplify right side
112,146,283,168x = 58,226,472,308,810,119,643,136 - Step 5: Solve for x
x = 58,226,472,308,810,119,643,136/112,146,283,168 - Step 6: Final answer
x = 519,201,088,649.41
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.