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Finding the Third Proportional to 99,921 and 214,050

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Solution

The third proportional to 99,921 and 214,050 is: 458,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,921 : 214,050 = 214,050 : x
  2. Step 2: Convert to fraction form
    99,921/214,050 = 214,050/x
  3. Step 3: Cross multiply
    99,921x = 214,050 × 214,050
  4. Step 4: Simplify right side
    99,921x = 45,817,402,500
  5. Step 5: Solve for x
    x = 45,817,402,500/99,921
  6. Step 6: Final answer
    x = 458,536.27

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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.