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Finding the Third Proportional to 99,711 and 214,038

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Solution

The third proportional to 99,711 and 214,038 is: 459,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 214,038 = 214,038 : x
  2. Step 2: Convert to fraction form
    99,711/214,038 = 214,038/x
  3. Step 3: Cross multiply
    99,711x = 214,038 × 214,038
  4. Step 4: Simplify right side
    99,711x = 45,812,265,444
  5. Step 5: Solve for x
    x = 45,812,265,444/99,711
  6. Step 6: Final answer
    x = 459,450.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.