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Finding the Third Proportional to 105,100.50 and 230,640.75

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Solution

The third proportional to 105,100.50 and 230,640.75 is: 506,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100.50 : 230,640.75 = 230,640.75 : x
  2. Step 2: Convert to fraction form
    105,100.50/230,640.75 = 230,640.75/x
  3. Step 3: Cross multiply
    105,100.50x = 230,640.75 × 230,640.75
  4. Step 4: Simplify right side
    105,100.50x = 53,195,155,560.56
  5. Step 5: Solve for x
    x = 53,195,155,560.56/105,100.50
  6. Step 6: Final answer
    x = 506,136.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.