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Finding the Third Proportional to 102,517.50 and 221,878.50

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Solution

The third proportional to 102,517.50 and 221,878.50 is: 480,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517.50 : 221,878.50 = 221,878.50 : x
  2. Step 2: Convert to fraction form
    102,517.50/221,878.50 = 221,878.50/x
  3. Step 3: Cross multiply
    102,517.50x = 221,878.50 × 221,878.50
  4. Step 4: Simplify right side
    102,517.50x = 49,230,068,762.25
  5. Step 5: Solve for x
    x = 49,230,068,762.25/102,517.50
  6. Step 6: Final answer
    x = 480,211.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.