Finding the Third Proportional to 183,720,154,135.50 and 288,202,450,308.75
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Solution
The third proportional to 183,720,154,135.50 and 288,202,450,308.75 is: 452,104,194,854.46
Step by Step Solution
- Step 1: Write the proportion equation
183,720,154,135.50 : 288,202,450,308.75 = 288,202,450,308.75 : x - Step 2: Convert to fraction form
183,720,154,135.50/288,202,450,308.75 = 288,202,450,308.75/x - Step 3: Cross multiply
183,720,154,135.50x = 288,202,450,308.75 × 288,202,450,308.75 - Step 4: Simplify right side
183,720,154,135.50x = 83,060,652,363,967,509,823,488 - Step 5: Solve for x
x = 83,060,652,363,967,509,823,488/183,720,154,135.50 - Step 6: Final answer
x = 452,104,194,854.46
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.