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Finding the Third Proportional to 203,704,922 and 323,088,615

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Solution

The third proportional to 203,704,922 and 323,088,615 is: 512,438,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,704,922 : 323,088,615 = 323,088,615 : x
  2. Step 2: Convert to fraction form
    203,704,922/323,088,615 = 323,088,615/x
  3. Step 3: Cross multiply
    203,704,922x = 323,088,615 × 323,088,615
  4. Step 4: Simplify right side
    203,704,922x = 104,386,253,142,618,224
  5. Step 5: Solve for x
    x = 104,386,253,142,618,224/203,704,922
  6. Step 6: Final answer
    x = 512,438,541.58

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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.