Finding the Third Proportional to 214,293,742 and 465,119,132
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Solution
The third proportional to 214,293,742 and 465,119,132 is: 1,009,529,279.45
Step by Step Solution
- Step 1: Write the proportion equation
214,293,742 : 465,119,132 = 465,119,132 : x - Step 2: Convert to fraction form
214,293,742/465,119,132 = 465,119,132/x - Step 3: Cross multiply
214,293,742x = 465,119,132 × 465,119,132 - Step 4: Simplify right side
214,293,742x = 216,335,806,952,433,408 - Step 5: Solve for x
x = 216,335,806,952,433,408/214,293,742 - Step 6: Final answer
x = 1,009,529,279.45
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.