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Finding the Third Proportional to 96,636 and 209,820

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Solution

The third proportional to 96,636 and 209,820 is: 455,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,636 : 209,820 = 209,820 : x
  2. Step 2: Convert to fraction form
    96,636/209,820 = 209,820/x
  3. Step 3: Cross multiply
    96,636x = 209,820 × 209,820
  4. Step 4: Simplify right side
    96,636x = 44,024,432,400
  5. Step 5: Solve for x
    x = 44,024,432,400/96,636
  6. Step 6: Final answer
    x = 455,569.69

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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.