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Finding the Third Proportional to 119,989.69 and 259,221.94

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Solution

The third proportional to 119,989.69 and 259,221.94 is: 560,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,989.69 : 259,221.94 = 259,221.94 : x
  2. Step 2: Convert to fraction form
    119,989.69/259,221.94 = 259,221.94/x
  3. Step 3: Cross multiply
    119,989.69x = 259,221.94 × 259,221.94
  4. Step 4: Simplify right side
    119,989.69x = 67,196,012,881.25
  5. Step 5: Solve for x
    x = 67,196,012,881.25/119,989.69
  6. Step 6: Final answer
    x = 560,014.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.