Finding the Third Proportional to 201,583,761,080 and 431,920,692,922
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Solution
The third proportional to 201,583,761,080 and 431,920,692,922 is: 925,448,974,534.14
Step by Step Solution
- Step 1: Write the proportion equation
201,583,761,080 : 431,920,692,922 = 431,920,692,922 : x - Step 2: Convert to fraction form
201,583,761,080/431,920,692,922 = 431,920,692,922/x - Step 3: Cross multiply
201,583,761,080x = 431,920,692,922 × 431,920,692,922 - Step 4: Simplify right side
201,583,761,080x = 186,555,484,974,220,631,343,104 - Step 5: Solve for x
x = 186,555,484,974,220,631,343,104/201,583,761,080 - Step 6: Final answer
x = 925,448,974,534.14
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.