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Finding the Third Proportional to 52,214.63 and 106,889.63

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Solution

The third proportional to 52,214.63 and 106,889.63 is: 218,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214.63 : 106,889.63 = 106,889.63 : x
  2. Step 2: Convert to fraction form
    52,214.63/106,889.63 = 106,889.63/x
  3. Step 3: Cross multiply
    52,214.63x = 106,889.63 × 106,889.63
  4. Step 4: Simplify right side
    52,214.63x = 11,425,391,932.64
  5. Step 5: Solve for x
    x = 11,425,391,932.64/52,214.63
  6. Step 6: Final answer
    x = 218,815.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.