Finding the Third Proportional to 46,617.50 and 102,307.75
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Solution
The third proportional to 46,617.50 and 102,307.75 is: 224,526.75
Step by Step Solution
- Step 1: Write the proportion equation
46,617.50 : 102,307.75 = 102,307.75 : x - Step 2: Convert to fraction form
46,617.50/102,307.75 = 102,307.75/x - Step 3: Cross multiply
46,617.50x = 102,307.75 × 102,307.75 - Step 4: Simplify right side
46,617.50x = 10,466,875,710.06 - Step 5: Solve for x
x = 10,466,875,710.06/46,617.50 - Step 6: Final answer
x = 224,526.75
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.