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Finding the Third Proportional to 102,125.25 and 223,629.75

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Solution

The third proportional to 102,125.25 and 223,629.75 is: 489,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.25 : 223,629.75 = 223,629.75 : x
  2. Step 2: Convert to fraction form
    102,125.25/223,629.75 = 223,629.75/x
  3. Step 3: Cross multiply
    102,125.25x = 223,629.75 × 223,629.75
  4. Step 4: Simplify right side
    102,125.25x = 50,010,265,085.06
  5. Step 5: Solve for x
    x = 50,010,265,085.06/102,125.25
  6. Step 6: Final answer
    x = 489,695.40

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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.