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Finding the Third Proportional to 99,318.98 and 217,206.23

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Solution

The third proportional to 99,318.98 and 217,206.23 is: 475,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,318.98 : 217,206.23 = 217,206.23 : x
  2. Step 2: Convert to fraction form
    99,318.98/217,206.23 = 217,206.23/x
  3. Step 3: Cross multiply
    99,318.98x = 217,206.23 × 217,206.23
  4. Step 4: Simplify right side
    99,318.98x = 47,178,548,251.37
  5. Step 5: Solve for x
    x = 47,178,548,251.37/99,318.98
  6. Step 6: Final answer
    x = 475,020.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.