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Finding the Third Proportional to 96,606 and 209,763

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Solution

The third proportional to 96,606 and 209,763 is: 455,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,606 : 209,763 = 209,763 : x
  2. Step 2: Convert to fraction form
    96,606/209,763 = 209,763/x
  3. Step 3: Cross multiply
    96,606x = 209,763 × 209,763
  4. Step 4: Simplify right side
    96,606x = 44,000,516,169
  5. Step 5: Solve for x
    x = 44,000,516,169/96,606
  6. Step 6: Final answer
    x = 455,463.60

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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.