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Finding the Third Proportional to 102,916.88 and 225,273.75

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Solution

The third proportional to 102,916.88 and 225,273.75 is: 493,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,916.88 : 225,273.75 = 225,273.75 : x
  2. Step 2: Convert to fraction form
    102,916.88/225,273.75 = 225,273.75/x
  3. Step 3: Cross multiply
    102,916.88x = 225,273.75 × 225,273.75
  4. Step 4: Simplify right side
    102,916.88x = 50,748,262,439.06
  5. Step 5: Solve for x
    x = 50,748,262,439.06/102,916.88
  6. Step 6: Final answer
    x = 493,099.53

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Why These Related Problems?

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