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Finding the Third Proportional to 99,201 and 214,084

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Solution

The third proportional to 99,201 and 214,084 is: 462,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,201 : 214,084 = 214,084 : x
  2. Step 2: Convert to fraction form
    99,201/214,084 = 214,084/x
  3. Step 3: Cross multiply
    99,201x = 214,084 × 214,084
  4. Step 4: Simplify right side
    99,201x = 45,831,959,056
  5. Step 5: Solve for x
    x = 45,831,959,056/99,201
  6. Step 6: Final answer
    x = 462,011.06

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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.