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Finding the Third Proportional to 99,025 and 213,833

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Solution

The third proportional to 99,025 and 213,833 is: 461,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,025 : 213,833 = 213,833 : x
  2. Step 2: Convert to fraction form
    99,025/213,833 = 213,833/x
  3. Step 3: Cross multiply
    99,025x = 213,833 × 213,833
  4. Step 4: Simplify right side
    99,025x = 45,724,551,889
  5. Step 5: Solve for x
    x = 45,724,551,889/99,025
  6. Step 6: Final answer
    x = 461,747.56

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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.