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Finding the Third Proportional to 91,310.50 and 199,023.50

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Solution

The third proportional to 91,310.50 and 199,023.50 is: 433,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,310.50 : 199,023.50 = 199,023.50 : x
  2. Step 2: Convert to fraction form
    91,310.50/199,023.50 = 199,023.50/x
  3. Step 3: Cross multiply
    91,310.50x = 199,023.50 × 199,023.50
  4. Step 4: Simplify right side
    91,310.50x = 39,610,353,552.25
  5. Step 5: Solve for x
    x = 39,610,353,552.25/91,310.50
  6. Step 6: Final answer
    x = 433,798.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.