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Finding the Third Proportional to 98,906.06 and 216,766.13

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Solution

The third proportional to 98,906.06 and 216,766.13 is: 475,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906.06 : 216,766.13 = 216,766.13 : x
  2. Step 2: Convert to fraction form
    98,906.06/216,766.13 = 216,766.13/x
  3. Step 3: Cross multiply
    98,906.06x = 216,766.13 × 216,766.13
  4. Step 4: Simplify right side
    98,906.06x = 46,987,552,947.52
  5. Step 5: Solve for x
    x = 46,987,552,947.52/98,906.06
  6. Step 6: Final answer
    x = 475,072.53

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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.