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Finding the Third Proportional to 99,927 and 212,800.50

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Solution

The third proportional to 99,927 and 212,800.50 is: 453,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,927 : 212,800.50 = 212,800.50 : x
  2. Step 2: Convert to fraction form
    99,927/212,800.50 = 212,800.50/x
  3. Step 3: Cross multiply
    99,927x = 212,800.50 × 212,800.50
  4. Step 4: Simplify right side
    99,927x = 45,284,052,800.25
  5. Step 5: Solve for x
    x = 45,284,052,800.25/99,927
  6. Step 6: Final answer
    x = 453,171.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.