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Finding the Third Proportional to 98,632 and 216,908

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Solution

The third proportional to 98,632 and 216,908 is: 477,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,632 : 216,908 = 216,908 : x
  2. Step 2: Convert to fraction form
    98,632/216,908 = 216,908/x
  3. Step 3: Cross multiply
    98,632x = 216,908 × 216,908
  4. Step 4: Simplify right side
    98,632x = 47,049,080,464
  5. Step 5: Solve for x
    x = 47,049,080,464/98,632
  6. Step 6: Final answer
    x = 477,016.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.