Finding the Third Proportional to 75,148,122.09 and 165,582,554.06
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Solution
The third proportional to 75,148,122.09 and 165,582,554.06 is: 364,847,203.71
Step by Step Solution
- Step 1: Write the proportion equation
75,148,122.09 : 165,582,554.06 = 165,582,554.06 : x - Step 2: Convert to fraction form
75,148,122.09/165,582,554.06 = 165,582,554.06/x - Step 3: Cross multiply
75,148,122.09x = 165,582,554.06 × 165,582,554.06 - Step 4: Simplify right side
75,148,122.09x = 27,417,582,209,860,736 - Step 5: Solve for x
x = 27,417,582,209,860,736/75,148,122.09 - Step 6: Final answer
x = 364,847,203.71
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.