Finding the Third Proportional to 201,072,555,173 and 299,865,155,047.50
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Solution
The third proportional to 201,072,555,173 and 299,865,155,047.50 is: 447,197,336,972.70
Step by Step Solution
- Step 1: Write the proportion equation
201,072,555,173 : 299,865,155,047.50 = 299,865,155,047.50 : x - Step 2: Convert to fraction form
201,072,555,173/299,865,155,047.50 = 299,865,155,047.50/x - Step 3: Cross multiply
201,072,555,173x = 299,865,155,047.50 × 299,865,155,047.50 - Step 4: Simplify right side
201,072,555,173x = 89,919,111,211,661,211,467,776 - Step 5: Solve for x
x = 89,919,111,211,661,211,467,776/201,072,555,173 - Step 6: Final answer
x = 447,197,336,972.70
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.