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Finding the Third Proportional to 91,984.50 and 198,733.50

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Solution

The third proportional to 91,984.50 and 198,733.50 is: 429,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,984.50 : 198,733.50 = 198,733.50 : x
  2. Step 2: Convert to fraction form
    91,984.50/198,733.50 = 198,733.50/x
  3. Step 3: Cross multiply
    91,984.50x = 198,733.50 × 198,733.50
  4. Step 4: Simplify right side
    91,984.50x = 39,495,004,022.25
  5. Step 5: Solve for x
    x = 39,495,004,022.25/91,984.50
  6. Step 6: Final answer
    x = 429,365.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.