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Finding the Third Proportional to 213,213.52 and 459,642.09

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Solution

The third proportional to 213,213.52 and 459,642.09 is: 990,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,213.52 : 459,642.09 = 459,642.09 : x
  2. Step 2: Convert to fraction form
    213,213.52/459,642.09 = 459,642.09/x
  3. Step 3: Cross multiply
    213,213.52x = 459,642.09 × 459,642.09
  4. Step 4: Simplify right side
    213,213.52x = 211,270,854,346.88
  5. Step 5: Solve for x
    x = 211,270,854,346.88/213,213.52
  6. Step 6: Final answer
    x = 990,888.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.