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Finding the Third Proportional to 94,694 and 207,202.75

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Solution

The third proportional to 94,694 and 207,202.75 is: 453,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,694 : 207,202.75 = 207,202.75 : x
  2. Step 2: Convert to fraction form
    94,694/207,202.75 = 207,202.75/x
  3. Step 3: Cross multiply
    94,694x = 207,202.75 × 207,202.75
  4. Step 4: Simplify right side
    94,694x = 42,932,979,607.56
  5. Step 5: Solve for x
    x = 42,932,979,607.56/94,694
  6. Step 6: Final answer
    x = 453,386.48

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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.