Finding the Third Proportional to 205,524,965.25 and 296,948,073.09
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Solution
The third proportional to 205,524,965.25 and 296,948,073.09 is: 429,038,671.81
Step by Step Solution
- Step 1: Write the proportion equation
205,524,965.25 : 296,948,073.09 = 296,948,073.09 : x - Step 2: Convert to fraction form
205,524,965.25/296,948,073.09 = 296,948,073.09/x - Step 3: Cross multiply
205,524,965.25x = 296,948,073.09 × 296,948,073.09 - Step 4: Simplify right side
205,524,965.25x = 88,178,158,114,091,088 - Step 5: Solve for x
x = 88,178,158,114,091,088/205,524,965.25 - Step 6: Final answer
x = 429,038,671.81
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.