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Finding the Third Proportional to 103,981.25 and 212,889.50

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Solution

The third proportional to 103,981.25 and 212,889.50 is: 435,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,981.25 : 212,889.50 = 212,889.50 : x
  2. Step 2: Convert to fraction form
    103,981.25/212,889.50 = 212,889.50/x
  3. Step 3: Cross multiply
    103,981.25x = 212,889.50 × 212,889.50
  4. Step 4: Simplify right side
    103,981.25x = 45,321,939,210.25
  5. Step 5: Solve for x
    x = 45,321,939,210.25/103,981.25
  6. Step 6: Final answer
    x = 435,866.46

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.