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Finding the Third Proportional to 209,876.06 and 236,120.06

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Solution

The third proportional to 209,876.06 and 236,120.06 is: 265,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.06 : 236,120.06 = 236,120.06 : x
  2. Step 2: Convert to fraction form
    209,876.06/236,120.06 = 236,120.06/x
  3. Step 3: Cross multiply
    209,876.06x = 236,120.06 × 236,120.06
  4. Step 4: Simplify right side
    209,876.06x = 55,752,683,915.00
  5. Step 5: Solve for x
    x = 55,752,683,915.00/209,876.06
  6. Step 6: Final answer
    x = 265,645.75

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.