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Finding the Third Proportional to 99,895 and 214,006

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Solution

The third proportional to 99,895 and 214,006 is: 458,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,895 : 214,006 = 214,006 : x
  2. Step 2: Convert to fraction form
    99,895/214,006 = 214,006/x
  3. Step 3: Cross multiply
    99,895x = 214,006 × 214,006
  4. Step 4: Simplify right side
    99,895x = 45,798,568,036
  5. Step 5: Solve for x
    x = 45,798,568,036/99,895
  6. Step 6: Final answer
    x = 458,467.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.