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Finding the Third Proportional to 89,919 and 193,862.25

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Solution

The third proportional to 89,919 and 193,862.25 is: 417,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,919 : 193,862.25 = 193,862.25 : x
  2. Step 2: Convert to fraction form
    89,919/193,862.25 = 193,862.25/x
  3. Step 3: Cross multiply
    89,919x = 193,862.25 × 193,862.25
  4. Step 4: Simplify right side
    89,919x = 37,582,571,975.06
  5. Step 5: Solve for x
    x = 37,582,571,975.06/89,919
  6. Step 6: Final answer
    x = 417,960.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.