Finding the Third Proportional to 228,111,756 and 468,316,408
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Solution
The third proportional to 228,111,756 and 468,316,408 is: 961,459,689.09
Step by Step Solution
- Step 1: Write the proportion equation
228,111,756 : 468,316,408 = 468,316,408 : x - Step 2: Convert to fraction form
228,111,756/468,316,408 = 468,316,408/x - Step 3: Cross multiply
228,111,756x = 468,316,408 × 468,316,408 - Step 4: Simplify right side
228,111,756x = 219,320,258,002,022,464 - Step 5: Solve for x
x = 219,320,258,002,022,464/228,111,756 - Step 6: Final answer
x = 961,459,689.09
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.