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Finding the Third Proportional to 94,659.75 and 207,138.38

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Solution

The third proportional to 94,659.75 and 207,138.38 is: 453,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,659.75 : 207,138.38 = 207,138.38 : x
  2. Step 2: Convert to fraction form
    94,659.75/207,138.38 = 207,138.38/x
  3. Step 3: Cross multiply
    94,659.75x = 207,138.38 × 207,138.38
  4. Step 4: Simplify right side
    94,659.75x = 42,906,306,397.64
  5. Step 5: Solve for x
    x = 42,906,306,397.64/94,659.75
  6. Step 6: Final answer
    x = 453,268.75

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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.