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Finding the Third Proportional to 213,297.57 and 459,110.12

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Solution

The third proportional to 213,297.57 and 459,110.12 is: 988,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,297.57 : 459,110.12 = 459,110.12 : x
  2. Step 2: Convert to fraction form
    213,297.57/459,110.12 = 459,110.12/x
  3. Step 3: Cross multiply
    213,297.57x = 459,110.12 × 459,110.12
  4. Step 4: Simplify right side
    213,297.57x = 210,782,101,987.72
  5. Step 5: Solve for x
    x = 210,782,101,987.72/213,297.57
  6. Step 6: Final answer
    x = 988,206.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.