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Finding the Third Proportional to 223,977,969 and 488,984,967

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Solution

The third proportional to 223,977,969 and 488,984,967 is: 1,067,543,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,977,969 : 488,984,967 = 488,984,967 : x
  2. Step 2: Convert to fraction form
    223,977,969/488,984,967 = 488,984,967/x
  3. Step 3: Cross multiply
    223,977,969x = 488,984,967 × 488,984,967
  4. Step 4: Simplify right side
    223,977,969x = 239,106,297,951,991,104
  5. Step 5: Solve for x
    x = 239,106,297,951,991,104/223,977,969
  6. Step 6: Final answer
    x = 1,067,543,825.94

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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.