Finding the Third Proportional to 99,802.50 and 146,784
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Solution
The third proportional to 99,802.50 and 146,784 is: 215,881.79
Step by Step Solution
- Step 1: Write the proportion equation
99,802.50 : 146,784 = 146,784 : x - Step 2: Convert to fraction form
99,802.50/146,784 = 146,784/x - Step 3: Cross multiply
99,802.50x = 146,784 × 146,784 - Step 4: Simplify right side
99,802.50x = 21,545,542,656 - Step 5: Solve for x
x = 21,545,542,656/99,802.50 - Step 6: Final answer
x = 215,881.79
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.