Finding the Third Proportional to 97,905 and 214,572
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Solution
The third proportional to 97,905 and 214,572 is: 470,263.45
Step by Step Solution
- Step 1: Write the proportion equation
97,905 : 214,572 = 214,572 : x - Step 2: Convert to fraction form
97,905/214,572 = 214,572/x - Step 3: Cross multiply
97,905x = 214,572 × 214,572 - Step 4: Simplify right side
97,905x = 46,041,143,184 - Step 5: Solve for x
x = 46,041,143,184/97,905 - Step 6: Final answer
x = 470,263.45
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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.