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Finding the Third Proportional to 99,638 and 215,558

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Solution

The third proportional to 99,638 and 215,558 is: 466,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638 : 215,558 = 215,558 : x
  2. Step 2: Convert to fraction form
    99,638/215,558 = 215,558/x
  3. Step 3: Cross multiply
    99,638x = 215,558 × 215,558
  4. Step 4: Simplify right side
    99,638x = 46,465,251,364
  5. Step 5: Solve for x
    x = 46,465,251,364/99,638
  6. Step 6: Final answer
    x = 466,340.67

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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.