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Finding the Third Proportional to 103,084.50 and 218,805

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Solution

The third proportional to 103,084.50 and 218,805 is: 464,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,084.50 : 218,805 = 218,805 : x
  2. Step 2: Convert to fraction form
    103,084.50/218,805 = 218,805/x
  3. Step 3: Cross multiply
    103,084.50x = 218,805 × 218,805
  4. Step 4: Simplify right side
    103,084.50x = 47,875,628,025
  5. Step 5: Solve for x
    x = 47,875,628,025/103,084.50
  6. Step 6: Final answer
    x = 464,430.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.