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Finding the Third Proportional to 96,104 and 210,308

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Solution

The third proportional to 96,104 and 210,308 is: 460,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,104 : 210,308 = 210,308 : x
  2. Step 2: Convert to fraction form
    96,104/210,308 = 210,308/x
  3. Step 3: Cross multiply
    96,104x = 210,308 × 210,308
  4. Step 4: Simplify right side
    96,104x = 44,229,454,864
  5. Step 5: Solve for x
    x = 44,229,454,864/96,104
  6. Step 6: Final answer
    x = 460,224.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.