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Finding the Third Proportional to 94,455.28 and 199,570.92

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Solution

The third proportional to 94,455.28 and 199,570.92 is: 421,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,455.28 : 199,570.92 = 199,570.92 : x
  2. Step 2: Convert to fraction form
    94,455.28/199,570.92 = 199,570.92/x
  3. Step 3: Cross multiply
    94,455.28x = 199,570.92 × 199,570.92
  4. Step 4: Simplify right side
    94,455.28x = 39,828,552,858.04
  5. Step 5: Solve for x
    x = 39,828,552,858.04/94,455.28
  6. Step 6: Final answer
    x = 421,665.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.