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Finding the Third Proportional to 99,224 and 214,000

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Solution

The third proportional to 99,224 and 214,000 is: 461,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,224 : 214,000 = 214,000 : x
  2. Step 2: Convert to fraction form
    99,224/214,000 = 214,000/x
  3. Step 3: Cross multiply
    99,224x = 214,000 × 214,000
  4. Step 4: Simplify right side
    99,224x = 45,796,000,000
  5. Step 5: Solve for x
    x = 45,796,000,000/99,224
  6. Step 6: Final answer
    x = 461,541.56

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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.