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Finding the Third Proportional to 99,176 and 206,584

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Solution

The third proportional to 99,176 and 206,584 is: 430,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,176 : 206,584 = 206,584 : x
  2. Step 2: Convert to fraction form
    99,176/206,584 = 206,584/x
  3. Step 3: Cross multiply
    99,176x = 206,584 × 206,584
  4. Step 4: Simplify right side
    99,176x = 42,676,949,056
  5. Step 5: Solve for x
    x = 42,676,949,056/99,176
  6. Step 6: Final answer
    x = 430,315.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.