Finding the Third Proportional to 141,624,595,742 and 288,938,238,932
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Solution
The third proportional to 141,624,595,742 and 288,938,238,932 is: 589,483,101,291.33
Step by Step Solution
- Step 1: Write the proportion equation
141,624,595,742 : 288,938,238,932 = 288,938,238,932 : x - Step 2: Convert to fraction form
141,624,595,742/288,938,238,932 = 288,938,238,932/x - Step 3: Cross multiply
141,624,595,742x = 288,938,238,932 × 288,938,238,932 - Step 4: Simplify right side
141,624,595,742x = 83,485,305,917,125,525,766,144 - Step 5: Solve for x
x = 83,485,305,917,125,525,766,144/141,624,595,742 - Step 6: Final answer
x = 589,483,101,291.33
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.