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Finding the Third Proportional to 98,540.06 and 216,155.81

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Solution

The third proportional to 98,540.06 and 216,155.81 is: 474,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540.06 : 216,155.81 = 216,155.81 : x
  2. Step 2: Convert to fraction form
    98,540.06/216,155.81 = 216,155.81/x
  3. Step 3: Cross multiply
    98,540.06x = 216,155.81 × 216,155.81
  4. Step 4: Simplify right side
    98,540.06x = 46,723,335,277.54
  5. Step 5: Solve for x
    x = 46,723,335,277.54/98,540.06
  6. Step 6: Final answer
    x = 474,155.73

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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.