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Finding the Third Proportional to 99,603 and 215,800

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Solution

The third proportional to 99,603 and 215,800 is: 467,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,603 : 215,800 = 215,800 : x
  2. Step 2: Convert to fraction form
    99,603/215,800 = 215,800/x
  3. Step 3: Cross multiply
    99,603x = 215,800 × 215,800
  4. Step 4: Simplify right side
    99,603x = 46,569,640,000
  5. Step 5: Solve for x
    x = 46,569,640,000/99,603
  6. Step 6: Final answer
    x = 467,552.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.