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Finding the Third Proportional to 43,748.44 and 95,971.50

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Solution

The third proportional to 43,748.44 and 95,971.50 is: 210,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,748.44 : 95,971.50 = 95,971.50 : x
  2. Step 2: Convert to fraction form
    43,748.44/95,971.50 = 95,971.50/x
  3. Step 3: Cross multiply
    43,748.44x = 95,971.50 × 95,971.50
  4. Step 4: Simplify right side
    43,748.44x = 9,210,528,812.25
  5. Step 5: Solve for x
    x = 9,210,528,812.25/43,748.44
  6. Step 6: Final answer
    x = 210,533.89

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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.