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Finding the Third Proportional to 106,788.19 and 234,892.88

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Solution

The third proportional to 106,788.19 and 234,892.88 is: 516,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,788.19 : 234,892.88 = 234,892.88 : x
  2. Step 2: Convert to fraction form
    106,788.19/234,892.88 = 234,892.88/x
  3. Step 3: Cross multiply
    106,788.19x = 234,892.88 × 234,892.88
  4. Step 4: Simplify right side
    106,788.19x = 55,174,662,725.77
  5. Step 5: Solve for x
    x = 55,174,662,725.77/106,788.19
  6. Step 6: Final answer
    x = 516,673.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.