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Finding the Third Proportional to 98,676.75 and 216,093.75

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Solution

The third proportional to 98,676.75 and 216,093.75 is: 473,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676.75 : 216,093.75 = 216,093.75 : x
  2. Step 2: Convert to fraction form
    98,676.75/216,093.75 = 216,093.75/x
  3. Step 3: Cross multiply
    98,676.75x = 216,093.75 × 216,093.75
  4. Step 4: Simplify right side
    98,676.75x = 46,696,508,789.06
  5. Step 5: Solve for x
    x = 46,696,508,789.06/98,676.75
  6. Step 6: Final answer
    x = 473,227.07

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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.