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Finding the Third Proportional to 100,607.91 and 213,209.72

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Solution

The third proportional to 100,607.91 and 213,209.72 is: 451,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,607.91 : 213,209.72 = 213,209.72 : x
  2. Step 2: Convert to fraction form
    100,607.91/213,209.72 = 213,209.72/x
  3. Step 3: Cross multiply
    100,607.91x = 213,209.72 × 213,209.72
  4. Step 4: Simplify right side
    100,607.91x = 45,458,384,169.45
  5. Step 5: Solve for x
    x = 45,458,384,169.45/100,607.91
  6. Step 6: Final answer
    x = 451,837.10

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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.