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Finding the Third Proportional to 118,449 and 153,679.50

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Solution

The third proportional to 118,449 and 153,679.50 is: 199,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,449 : 153,679.50 = 153,679.50 : x
  2. Step 2: Convert to fraction form
    118,449/153,679.50 = 153,679.50/x
  3. Step 3: Cross multiply
    118,449x = 153,679.50 × 153,679.50
  4. Step 4: Simplify right side
    118,449x = 23,617,388,720.25
  5. Step 5: Solve for x
    x = 23,617,388,720.25/118,449
  6. Step 6: Final answer
    x = 199,388.67

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.