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Finding the Third Proportional to 99,201.75 and 214,085.25

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Solution

The third proportional to 99,201.75 and 214,085.25 is: 462,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,201.75 : 214,085.25 = 214,085.25 : x
  2. Step 2: Convert to fraction form
    99,201.75/214,085.25 = 214,085.25/x
  3. Step 3: Cross multiply
    99,201.75x = 214,085.25 × 214,085.25
  4. Step 4: Simplify right side
    99,201.75x = 45,832,494,267.56
  5. Step 5: Solve for x
    x = 45,832,494,267.56/99,201.75
  6. Step 6: Final answer
    x = 462,012.96

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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.