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Finding the Third Proportional to 43,464 and 91,600.50

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Solution

The third proportional to 43,464 and 91,600.50 is: 193,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 91,600.50 = 91,600.50 : x
  2. Step 2: Convert to fraction form
    43,464/91,600.50 = 91,600.50/x
  3. Step 3: Cross multiply
    43,464x = 91,600.50 × 91,600.50
  4. Step 4: Simplify right side
    43,464x = 8,390,651,600.25
  5. Step 5: Solve for x
    x = 8,390,651,600.25/43,464
  6. Step 6: Final answer
    x = 193,048.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.