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Finding the Third Proportional to 105,103 and 151,093.50

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Solution

The third proportional to 105,103 and 151,093.50 is: 217,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,103 : 151,093.50 = 151,093.50 : x
  2. Step 2: Convert to fraction form
    105,103/151,093.50 = 151,093.50/x
  3. Step 3: Cross multiply
    105,103x = 151,093.50 × 151,093.50
  4. Step 4: Simplify right side
    105,103x = 22,829,245,742.25
  5. Step 5: Solve for x
    x = 22,829,245,742.25/105,103
  6. Step 6: Final answer
    x = 217,208.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.