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Finding the Third Proportional to 47,206.55 and 99,880.59

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Solution

The third proportional to 47,206.55 and 99,880.59 is: 211,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.55 : 99,880.59 = 99,880.59 : x
  2. Step 2: Convert to fraction form
    47,206.55/99,880.59 = 99,880.59/x
  3. Step 3: Cross multiply
    47,206.55x = 99,880.59 × 99,880.59
  4. Step 4: Simplify right side
    47,206.55x = 9,976,133,007.85
  5. Step 5: Solve for x
    x = 9,976,133,007.85/47,206.55
  6. Step 6: Final answer
    x = 211,329.44

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