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Finding the Third Proportional to 105,153.19 and 158,984.44

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Solution

The third proportional to 105,153.19 and 158,984.44 is: 240,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,153.19 : 158,984.44 = 158,984.44 : x
  2. Step 2: Convert to fraction form
    105,153.19/158,984.44 = 158,984.44/x
  3. Step 3: Cross multiply
    105,153.19x = 158,984.44 × 158,984.44
  4. Step 4: Simplify right side
    105,153.19x = 25,276,051,367.19
  5. Step 5: Solve for x
    x = 25,276,051,367.19/105,153.19
  6. Step 6: Final answer
    x = 240,373.61

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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.