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Finding the Third Proportional to 223,977,933 and 488,984,890.50

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Solution

The third proportional to 223,977,933 and 488,984,890.50 is: 1,067,543,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,977,933 : 488,984,890.50 = 488,984,890.50 : x
  2. Step 2: Convert to fraction form
    223,977,933/488,984,890.50 = 488,984,890.50/x
  3. Step 3: Cross multiply
    223,977,933x = 488,984,890.50 × 488,984,890.50
  4. Step 4: Simplify right side
    223,977,933x = 239,106,223,137,296,992
  5. Step 5: Solve for x
    x = 239,106,223,137,296,992/223,977,933
  6. Step 6: Final answer
    x = 1,067,543,663.50

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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.