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Finding the Third Proportional to 99,800 and 215,426

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Solution

The third proportional to 99,800 and 215,426 is: 465,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,800 : 215,426 = 215,426 : x
  2. Step 2: Convert to fraction form
    99,800/215,426 = 215,426/x
  3. Step 3: Cross multiply
    99,800x = 215,426 × 215,426
  4. Step 4: Simplify right side
    99,800x = 46,408,361,476
  5. Step 5: Solve for x
    x = 46,408,361,476/99,800
  6. Step 6: Final answer
    x = 465,013.64

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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.