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Finding the Third Proportional to 96,513 and 213,681

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Solution

The third proportional to 96,513 and 213,681 is: 473,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,513 : 213,681 = 213,681 : x
  2. Step 2: Convert to fraction form
    96,513/213,681 = 213,681/x
  3. Step 3: Cross multiply
    96,513x = 213,681 × 213,681
  4. Step 4: Simplify right side
    96,513x = 45,659,569,761
  5. Step 5: Solve for x
    x = 45,659,569,761/96,513
  6. Step 6: Final answer
    x = 473,092.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.