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Finding the Third Proportional to 109,620 and 165,614.63

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Solution

The third proportional to 109,620 and 165,614.63 is: 250,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,620 : 165,614.63 = 165,614.63 : x
  2. Step 2: Convert to fraction form
    109,620/165,614.63 = 165,614.63/x
  3. Step 3: Cross multiply
    109,620x = 165,614.63 × 165,614.63
  4. Step 4: Simplify right side
    109,620x = 27,428,204,013.89
  5. Step 5: Solve for x
    x = 27,428,204,013.89/109,620
  6. Step 6: Final answer
    x = 250,211.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.