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Finding the Third Proportional to 132,203.81 and 201,403.97

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Solution

The third proportional to 132,203.81 and 201,403.97 is: 306,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,203.81 : 201,403.97 = 201,403.97 : x
  2. Step 2: Convert to fraction form
    132,203.81/201,403.97 = 201,403.97/x
  3. Step 3: Cross multiply
    132,203.81x = 201,403.97 × 201,403.97
  4. Step 4: Simplify right side
    132,203.81x = 40,563,558,628.25
  5. Step 5: Solve for x
    x = 40,563,558,628.25/132,203.81
  6. Step 6: Final answer
    x = 306,825.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.