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Finding the Third Proportional to 99,073.75 and 214,306.75

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Solution

The third proportional to 99,073.75 and 214,306.75 is: 463,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,073.75 : 214,306.75 = 214,306.75 : x
  2. Step 2: Convert to fraction form
    99,073.75/214,306.75 = 214,306.75/x
  3. Step 3: Cross multiply
    99,073.75x = 214,306.75 × 214,306.75
  4. Step 4: Simplify right side
    99,073.75x = 45,927,383,095.56
  5. Step 5: Solve for x
    x = 45,927,383,095.56/99,073.75
  6. Step 6: Final answer
    x = 463,567.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.