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Finding the Third Proportional to 103,196.25 and 210,765.75

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Solution

The third proportional to 103,196.25 and 210,765.75 is: 430,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,196.25 : 210,765.75 = 210,765.75 : x
  2. Step 2: Convert to fraction form
    103,196.25/210,765.75 = 210,765.75/x
  3. Step 3: Cross multiply
    103,196.25x = 210,765.75 × 210,765.75
  4. Step 4: Simplify right side
    103,196.25x = 44,422,201,373.06
  5. Step 5: Solve for x
    x = 44,422,201,373.06/103,196.25
  6. Step 6: Final answer
    x = 430,463.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.