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Finding the Third Proportional to 213,616.88 and 461,008.13

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Solution

The third proportional to 213,616.88 and 461,008.13 is: 994,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,616.88 : 461,008.13 = 461,008.13 : x
  2. Step 2: Convert to fraction form
    213,616.88/461,008.13 = 461,008.13/x
  3. Step 3: Cross multiply
    213,616.88x = 461,008.13 × 461,008.13
  4. Step 4: Simplify right side
    213,616.88x = 212,528,491,316.02
  5. Step 5: Solve for x
    x = 212,528,491,316.02/213,616.88
  6. Step 6: Final answer
    x = 994,904.97

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Why These Related Problems?

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