Finding the Third Proportional to 46,410 and 100,209
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Solution
The third proportional to 46,410 and 100,209 is: 216,372.41
Step by Step Solution
- Step 1: Write the proportion equation
46,410 : 100,209 = 100,209 : x - Step 2: Convert to fraction form
46,410/100,209 = 100,209/x - Step 3: Cross multiply
46,410x = 100,209 × 100,209 - Step 4: Simplify right side
46,410x = 10,041,843,681 - Step 5: Solve for x
x = 10,041,843,681/46,410 - Step 6: Final answer
x = 216,372.41
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.