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Finding the Third Proportional to 103,627.13 and 215,043.75

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Solution

The third proportional to 103,627.13 and 215,043.75 is: 446,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627.13 : 215,043.75 = 215,043.75 : x
  2. Step 2: Convert to fraction form
    103,627.13/215,043.75 = 215,043.75/x
  3. Step 3: Cross multiply
    103,627.13x = 215,043.75 × 215,043.75
  4. Step 4: Simplify right side
    103,627.13x = 46,243,814,414.06
  5. Step 5: Solve for x
    x = 46,243,814,414.06/103,627.13
  6. Step 6: Final answer
    x = 446,252.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.