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Finding the Third Proportional to 208,931.91 and 451,114.31

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Solution

The third proportional to 208,931.91 and 451,114.31 is: 974,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,931.91 : 451,114.31 = 451,114.31 : x
  2. Step 2: Convert to fraction form
    208,931.91/451,114.31 = 451,114.31/x
  3. Step 3: Cross multiply
    208,931.91x = 451,114.31 × 451,114.31
  4. Step 4: Simplify right side
    208,931.91x = 203,504,122,942.35
  5. Step 5: Solve for x
    x = 203,504,122,942.35/208,931.91
  6. Step 6: Final answer
    x = 974,021.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.