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Finding the Third Proportional to 98,482.50 and 216,027

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Solution

The third proportional to 98,482.50 and 216,027 is: 473,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,482.50 : 216,027 = 216,027 : x
  2. Step 2: Convert to fraction form
    98,482.50/216,027 = 216,027/x
  3. Step 3: Cross multiply
    98,482.50x = 216,027 × 216,027
  4. Step 4: Simplify right side
    98,482.50x = 46,667,664,729
  5. Step 5: Solve for x
    x = 46,667,664,729/98,482.50
  6. Step 6: Final answer
    x = 473,867.59

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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.