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Finding the Third Proportional to 96,948 and 209,172

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Solution

The third proportional to 96,948 and 209,172 is: 451,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,948 : 209,172 = 209,172 : x
  2. Step 2: Convert to fraction form
    96,948/209,172 = 209,172/x
  3. Step 3: Cross multiply
    96,948x = 209,172 × 209,172
  4. Step 4: Simplify right side
    96,948x = 43,752,925,584
  5. Step 5: Solve for x
    x = 43,752,925,584/96,948
  6. Step 6: Final answer
    x = 451,303.02

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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.