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Finding the Third Proportional to 94,956 and 208,028

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Solution

The third proportional to 94,956 and 208,028 is: 455,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,956 : 208,028 = 208,028 : x
  2. Step 2: Convert to fraction form
    94,956/208,028 = 208,028/x
  3. Step 3: Cross multiply
    94,956x = 208,028 × 208,028
  4. Step 4: Simplify right side
    94,956x = 43,275,648,784
  5. Step 5: Solve for x
    x = 43,275,648,784/94,956
  6. Step 6: Final answer
    x = 455,744.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.