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Finding the Third Proportional to 97,999 and 214,677

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Solution

The third proportional to 97,999 and 214,677 is: 470,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,999 : 214,677 = 214,677 : x
  2. Step 2: Convert to fraction form
    97,999/214,677 = 214,677/x
  3. Step 3: Cross multiply
    97,999x = 214,677 × 214,677
  4. Step 4: Simplify right side
    97,999x = 46,086,214,329
  5. Step 5: Solve for x
    x = 46,086,214,329/97,999
  6. Step 6: Final answer
    x = 470,272.29

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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.