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Finding the Third Proportional to 99,708 and 214,032

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Solution

The third proportional to 99,708 and 214,032 is: 459,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708 : 214,032 = 214,032 : x
  2. Step 2: Convert to fraction form
    99,708/214,032 = 214,032/x
  3. Step 3: Cross multiply
    99,708x = 214,032 × 214,032
  4. Step 4: Simplify right side
    99,708x = 45,809,697,024
  5. Step 5: Solve for x
    x = 45,809,697,024/99,708
  6. Step 6: Final answer
    x = 459,438.53

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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.