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Finding the Third Proportional to 94,476.75 and 207,383.25

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Solution

The third proportional to 94,476.75 and 207,383.25 is: 455,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,476.75 : 207,383.25 = 207,383.25 : x
  2. Step 2: Convert to fraction form
    94,476.75/207,383.25 = 207,383.25/x
  3. Step 3: Cross multiply
    94,476.75x = 207,383.25 × 207,383.25
  4. Step 4: Simplify right side
    94,476.75x = 43,007,812,380.56
  5. Step 5: Solve for x
    x = 43,007,812,380.56/94,476.75
  6. Step 6: Final answer
    x = 455,221.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.