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Finding the Third Proportional to 219,410,021.25 and 456,980,478.75

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Solution

The third proportional to 219,410,021.25 and 456,980,478.75 is: 951,784,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,410,021.25 : 456,980,478.75 = 456,980,478.75 : x
  2. Step 2: Convert to fraction form
    219,410,021.25/456,980,478.75 = 456,980,478.75/x
  3. Step 3: Cross multiply
    219,410,021.25x = 456,980,478.75 × 456,980,478.75
  4. Step 4: Simplify right side
    219,410,021.25x = 208,831,157,958,579,200
  5. Step 5: Solve for x
    x = 208,831,157,958,579,200/219,410,021.25
  6. Step 6: Final answer
    x = 951,784,958.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.