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Finding the Third Proportional to 99,871.50 and 219,141

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Solution

The third proportional to 99,871.50 and 219,141 is: 480,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.50 : 219,141 = 219,141 : x
  2. Step 2: Convert to fraction form
    99,871.50/219,141 = 219,141/x
  3. Step 3: Cross multiply
    99,871.50x = 219,141 × 219,141
  4. Step 4: Simplify right side
    99,871.50x = 48,022,777,881
  5. Step 5: Solve for x
    x = 48,022,777,881/99,871.50
  6. Step 6: Final answer
    x = 480,845.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.