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Finding the Third Proportional to 132,219.84 and 201,430.55

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Solution

The third proportional to 132,219.84 and 201,430.55 is: 306,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,219.84 : 201,430.55 = 201,430.55 : x
  2. Step 2: Convert to fraction form
    132,219.84/201,430.55 = 201,430.55/x
  3. Step 3: Cross multiply
    132,219.84x = 201,430.55 × 201,430.55
  4. Step 4: Simplify right side
    132,219.84x = 40,574,265,214.36
  5. Step 5: Solve for x
    x = 40,574,265,214.36/132,219.84
  6. Step 6: Final answer
    x = 306,869.71

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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.