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Finding the Third Proportional to 215,530.88 and 461,995.03

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Solution

The third proportional to 215,530.88 and 461,995.03 is: 990,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,530.88 : 461,995.03 = 461,995.03 : x
  2. Step 2: Convert to fraction form
    215,530.88/461,995.03 = 461,995.03/x
  3. Step 3: Cross multiply
    215,530.88x = 461,995.03 × 461,995.03
  4. Step 4: Simplify right side
    215,530.88x = 213,439,408,899.69
  5. Step 5: Solve for x
    x = 213,439,408,899.69/215,530.88
  6. Step 6: Final answer
    x = 990,296.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.