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Finding the Third Proportional to 199,077.75 and 435,526.88

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Solution

The third proportional to 199,077.75 and 435,526.88 is: 952,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,077.75 : 435,526.88 = 435,526.88 : x
  2. Step 2: Convert to fraction form
    199,077.75/435,526.88 = 435,526.88/x
  3. Step 3: Cross multiply
    199,077.75x = 435,526.88 × 435,526.88
  4. Step 4: Simplify right side
    199,077.75x = 189,683,658,847.27
  5. Step 5: Solve for x
    x = 189,683,658,847.27/199,077.75
  6. Step 6: Final answer
    x = 952,811.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.