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Finding the Third Proportional to 103,983.75 and 212,886

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Solution

The third proportional to 103,983.75 and 212,886 is: 435,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983.75 : 212,886 = 212,886 : x
  2. Step 2: Convert to fraction form
    103,983.75/212,886 = 212,886/x
  3. Step 3: Cross multiply
    103,983.75x = 212,886 × 212,886
  4. Step 4: Simplify right side
    103,983.75x = 45,320,448,996
  5. Step 5: Solve for x
    x = 45,320,448,996/103,983.75
  6. Step 6: Final answer
    x = 435,841.65

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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.