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Finding the Third Proportional to 100,916.75 and 237,888.75

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Solution

The third proportional to 100,916.75 and 237,888.75 is: 560,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916.75 : 237,888.75 = 237,888.75 : x
  2. Step 2: Convert to fraction form
    100,916.75/237,888.75 = 237,888.75/x
  3. Step 3: Cross multiply
    100,916.75x = 237,888.75 × 237,888.75
  4. Step 4: Simplify right side
    100,916.75x = 56,591,057,376.56
  5. Step 5: Solve for x
    x = 56,591,057,376.56/100,916.75
  6. Step 6: Final answer
    x = 560,769.72

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.