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Finding the Third Proportional to 219,530,029 and 433,507,994

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Solution

The third proportional to 219,530,029 and 433,507,994 is: 856,052,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,530,029 : 433,507,994 = 433,507,994 : x
  2. Step 2: Convert to fraction form
    219,530,029/433,507,994 = 433,507,994/x
  3. Step 3: Cross multiply
    219,530,029x = 433,507,994 × 433,507,994
  4. Step 4: Simplify right side
    219,530,029x = 187,929,180,861,904,032
  5. Step 5: Solve for x
    x = 187,929,180,861,904,032/219,530,029
  6. Step 6: Final answer
    x = 856,052,275.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.