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Finding the Third Proportional to 99,458 and 214,806

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Solution

The third proportional to 99,458 and 214,806 is: 463,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,458 : 214,806 = 214,806 : x
  2. Step 2: Convert to fraction form
    99,458/214,806 = 214,806/x
  3. Step 3: Cross multiply
    99,458x = 214,806 × 214,806
  4. Step 4: Simplify right side
    99,458x = 46,141,617,636
  5. Step 5: Solve for x
    x = 46,141,617,636/99,458
  6. Step 6: Final answer
    x = 463,930.68

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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.