Finding the Third Proportional to 192,276,239,716 and 282,654,601,988
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Solution
The third proportional to 192,276,239,716 and 282,654,601,988 is: 415,514,803,820.80
Step by Step Solution
- Step 1: Write the proportion equation
192,276,239,716 : 282,654,601,988 = 282,654,601,988 : x - Step 2: Convert to fraction form
192,276,239,716/282,654,601,988 = 282,654,601,988/x - Step 3: Cross multiply
192,276,239,716x = 282,654,601,988 × 282,654,601,988 - Step 4: Simplify right side
192,276,239,716x = 79,893,624,024,994,695,610,368 - Step 5: Solve for x
x = 79,893,624,024,994,695,610,368/192,276,239,716 - Step 6: Final answer
x = 415,514,803,820.80
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.