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Finding the Third Proportional to 99,968 and 211,088

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Solution

The third proportional to 99,968 and 211,088 is: 445,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,968 : 211,088 = 211,088 : x
  2. Step 2: Convert to fraction form
    99,968/211,088 = 211,088/x
  3. Step 3: Cross multiply
    99,968x = 211,088 × 211,088
  4. Step 4: Simplify right side
    99,968x = 44,558,143,744
  5. Step 5: Solve for x
    x = 44,558,143,744/99,968
  6. Step 6: Final answer
    x = 445,724.07

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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.