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Finding the Third Proportional to 214,446,161 and 468,219,140

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Solution

The third proportional to 214,446,161 and 468,219,140 is: 1,022,303,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,446,161 : 468,219,140 = 468,219,140 : x
  2. Step 2: Convert to fraction form
    214,446,161/468,219,140 = 468,219,140/x
  3. Step 3: Cross multiply
    214,446,161x = 468,219,140 × 468,219,140
  4. Step 4: Simplify right side
    214,446,161x = 219,229,163,062,339,584
  5. Step 5: Solve for x
    x = 219,229,163,062,339,584/214,446,161
  6. Step 6: Final answer
    x = 1,022,303,976.16

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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.