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Finding the Third Proportional to 109,659 and 235,636.50

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Solution

The third proportional to 109,659 and 235,636.50 is: 506,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659 : 235,636.50 = 235,636.50 : x
  2. Step 2: Convert to fraction form
    109,659/235,636.50 = 235,636.50/x
  3. Step 3: Cross multiply
    109,659x = 235,636.50 × 235,636.50
  4. Step 4: Simplify right side
    109,659x = 55,524,560,132.25
  5. Step 5: Solve for x
    x = 55,524,560,132.25/109,659
  6. Step 6: Final answer
    x = 506,338.38

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