Finding the Third Proportional to 49,312.97 and 106,509.09
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Solution
The third proportional to 49,312.97 and 106,509.09 is: 230,044.70
Step by Step Solution
- Step 1: Write the proportion equation
49,312.97 : 106,509.09 = 106,509.09 : x - Step 2: Convert to fraction form
49,312.97/106,509.09 = 106,509.09/x - Step 3: Cross multiply
49,312.97x = 106,509.09 × 106,509.09 - Step 4: Simplify right side
49,312.97x = 11,344,187,051.45 - Step 5: Solve for x
x = 11,344,187,051.45/49,312.97 - Step 6: Final answer
x = 230,044.70
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.