Finding the Third Proportional to 86,195,141,340.75 and 201,390,743,043
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Solution
The third proportional to 86,195,141,340.75 and 201,390,743,043 is: 470,539,647,044.32
Step by Step Solution
- Step 1: Write the proportion equation
86,195,141,340.75 : 201,390,743,043 = 201,390,743,043 : x - Step 2: Convert to fraction form
86,195,141,340.75/201,390,743,043 = 201,390,743,043/x - Step 3: Cross multiply
86,195,141,340.75x = 201,390,743,043 × 201,390,743,043 - Step 4: Simplify right side
86,195,141,340.75x = 40,558,231,383,411,653,607,424 - Step 5: Solve for x
x = 40,558,231,383,411,653,607,424/86,195,141,340.75 - Step 6: Final answer
x = 470,539,647,044.32
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.