Finding the Third Proportional to 216,442,980 and 463,532,328
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Solution
The third proportional to 216,442,980 and 463,532,328 is: 992,696,640.48
Step by Step Solution
- Step 1: Write the proportion equation
216,442,980 : 463,532,328 = 463,532,328 : x - Step 2: Convert to fraction form
216,442,980/463,532,328 = 463,532,328/x - Step 3: Cross multiply
216,442,980x = 463,532,328 × 463,532,328 - Step 4: Simplify right side
216,442,980x = 214,862,219,101,099,584 - Step 5: Solve for x
x = 214,862,219,101,099,584/216,442,980 - Step 6: Final answer
x = 992,696,640.48
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.