Finding the Third Proportional to 191,550,166,074 and 269,402,492,875.50
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Solution
The third proportional to 191,550,166,074 and 269,402,492,875.50 is: 378,896,581,794.12
Step by Step Solution
- Step 1: Write the proportion equation
191,550,166,074 : 269,402,492,875.50 = 269,402,492,875.50 : x - Step 2: Convert to fraction form
191,550,166,074/269,402,492,875.50 = 269,402,492,875.50/x - Step 3: Cross multiply
191,550,166,074x = 269,402,492,875.50 × 269,402,492,875.50 - Step 4: Simplify right side
191,550,166,074x = 72,577,703,167,533,831,421,952 - Step 5: Solve for x
x = 72,577,703,167,533,831,421,952/191,550,166,074 - Step 6: Final answer
x = 378,896,581,794.12
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.