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Finding the Third Proportional to 128,266.03 and 201,209.70

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Solution

The third proportional to 128,266.03 and 201,209.70 is: 315,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,266.03 : 201,209.70 = 201,209.70 : x
  2. Step 2: Convert to fraction form
    128,266.03/201,209.70 = 201,209.70/x
  3. Step 3: Cross multiply
    128,266.03x = 201,209.70 × 201,209.70
  4. Step 4: Simplify right side
    128,266.03x = 40,485,341,487.75
  5. Step 5: Solve for x
    x = 40,485,341,487.75/128,266.03
  6. Step 6: Final answer
    x = 315,635.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.