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Finding the Third Proportional to 99,965 and 211,153

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Solution

The third proportional to 99,965 and 211,153 is: 446,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,965 : 211,153 = 211,153 : x
  2. Step 2: Convert to fraction form
    99,965/211,153 = 211,153/x
  3. Step 3: Cross multiply
    99,965x = 211,153 × 211,153
  4. Step 4: Simplify right side
    99,965x = 44,585,589,409
  5. Step 5: Solve for x
    x = 44,585,589,409/99,965
  6. Step 6: Final answer
    x = 446,012.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.