Finding the Third Proportional to 104,739,933,216 and 229,758,057,024
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Solution
The third proportional to 104,739,933,216 and 229,758,057,024 is: 503,998,457,384.73
Step by Step Solution
- Step 1: Write the proportion equation
104,739,933,216 : 229,758,057,024 = 229,758,057,024 : x - Step 2: Convert to fraction form
104,739,933,216/229,758,057,024 = 229,758,057,024/x - Step 3: Cross multiply
104,739,933,216x = 229,758,057,024 × 229,758,057,024 - Step 4: Simplify right side
104,739,933,216x = 52,788,764,767,443,635,666,944 - Step 5: Solve for x
x = 52,788,764,767,443,635,666,944/104,739,933,216 - Step 6: Final answer
x = 503,998,457,384.73
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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.