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Finding the Third Proportional to 94,691.81 and 207,198.56

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Solution

The third proportional to 94,691.81 and 207,198.56 is: 453,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,691.81 : 207,198.56 = 207,198.56 : x
  2. Step 2: Convert to fraction form
    94,691.81/207,198.56 = 207,198.56/x
  3. Step 3: Cross multiply
    94,691.81x = 207,198.56 × 207,198.56
  4. Step 4: Simplify right side
    94,691.81x = 42,931,244,302.07
  5. Step 5: Solve for x
    x = 42,931,244,302.07/94,691.81
  6. Step 6: Final answer
    x = 453,378.63

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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.