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Finding the Third Proportional to 99,876.94 and 214,576.88

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Solution

The third proportional to 99,876.94 and 214,576.88 is: 460,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876.94 : 214,576.88 = 214,576.88 : x
  2. Step 2: Convert to fraction form
    99,876.94/214,576.88 = 214,576.88/x
  3. Step 3: Cross multiply
    99,876.94x = 214,576.88 × 214,576.88
  4. Step 4: Simplify right side
    99,876.94x = 46,043,235,284.77
  5. Step 5: Solve for x
    x = 46,043,235,284.77/99,876.94
  6. Step 6: Final answer
    x = 460,999.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.