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Finding the Third Proportional to 98,676 and 216,099

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Solution

The third proportional to 98,676 and 216,099 is: 473,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676 : 216,099 = 216,099 : x
  2. Step 2: Convert to fraction form
    98,676/216,099 = 216,099/x
  3. Step 3: Cross multiply
    98,676x = 216,099 × 216,099
  4. Step 4: Simplify right side
    98,676x = 46,698,777,801
  5. Step 5: Solve for x
    x = 46,698,777,801/98,676
  6. Step 6: Final answer
    x = 473,253.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.