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Finding the Third Proportional to 201,713.06 and 438,908.63

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Solution

The third proportional to 201,713.06 and 438,908.63 is: 955,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.06 : 438,908.63 = 438,908.63 : x
  2. Step 2: Convert to fraction form
    201,713.06/438,908.63 = 438,908.63/x
  3. Step 3: Cross multiply
    201,713.06x = 438,908.63 × 438,908.63
  4. Step 4: Simplify right side
    201,713.06x = 192,640,781,099.39
  5. Step 5: Solve for x
    x = 192,640,781,099.39/201,713.06
  6. Step 6: Final answer
    x = 955,023.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.