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Finding the Third Proportional to 214,446,160 and 468,219,138

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Solution

The third proportional to 214,446,160 and 468,219,138 is: 1,022,303,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,446,160 : 468,219,138 = 468,219,138 : x
  2. Step 2: Convert to fraction form
    214,446,160/468,219,138 = 468,219,138/x
  3. Step 3: Cross multiply
    214,446,160x = 468,219,138 × 468,219,138
  4. Step 4: Simplify right side
    214,446,160x = 219,229,161,189,463,040
  5. Step 5: Solve for x
    x = 219,229,161,189,463,040/214,446,160
  6. Step 6: Final answer
    x = 1,022,303,972.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.