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Finding the Third Proportional to 94,251.75 and 199,411.50

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Solution

The third proportional to 94,251.75 and 199,411.50 is: 421,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,251.75 : 199,411.50 = 199,411.50 : x
  2. Step 2: Convert to fraction form
    94,251.75/199,411.50 = 199,411.50/x
  3. Step 3: Cross multiply
    94,251.75x = 199,411.50 × 199,411.50
  4. Step 4: Simplify right side
    94,251.75x = 39,764,946,332.25
  5. Step 5: Solve for x
    x = 39,764,946,332.25/94,251.75
  6. Step 6: Final answer
    x = 421,901.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.