Finding the Third Proportional to 145,116,984 and 315,742,152
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Solution
The third proportional to 145,116,984 and 315,742,152 is: 686,984,416.31
Step by Step Solution
- Step 1: Write the proportion equation
145,116,984 : 315,742,152 = 315,742,152 : x - Step 2: Convert to fraction form
145,116,984/315,742,152 = 315,742,152/x - Step 3: Cross multiply
145,116,984x = 315,742,152 × 315,742,152 - Step 4: Simplify right side
145,116,984x = 99,693,106,549,591,104 - Step 5: Solve for x
x = 99,693,106,549,591,104/145,116,984 - Step 6: Final answer
x = 686,984,416.31
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.