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Finding the Third Proportional to 203,704,520.63 and 323,088,015.94

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Solution

The third proportional to 203,704,520.63 and 323,088,015.94 is: 512,437,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,704,520.63 : 323,088,015.94 = 323,088,015.94 : x
  2. Step 2: Convert to fraction form
    203,704,520.63/323,088,015.94 = 323,088,015.94/x
  3. Step 3: Cross multiply
    203,704,520.63x = 323,088,015.94 × 323,088,015.94
  4. Step 4: Simplify right side
    203,704,520.63x = 104,385,866,042,430,256
  5. Step 5: Solve for x
    x = 104,385,866,042,430,256/203,704,520.63
  6. Step 6: Final answer
    x = 512,437,650.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.