Finding the Third Proportional to 99,830 and 216,913
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Solution
The third proportional to 99,830 and 216,913 is: 471,313.73
Step by Step Solution
- Step 1: Write the proportion equation
99,830 : 216,913 = 216,913 : x - Step 2: Convert to fraction form
99,830/216,913 = 216,913/x - Step 3: Cross multiply
99,830x = 216,913 × 216,913 - Step 4: Simplify right side
99,830x = 47,051,249,569 - Step 5: Solve for x
x = 47,051,249,569/99,830 - Step 6: Final answer
x = 471,313.73
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.