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Finding the Third Proportional to 40,833 and 85,819.50

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Solution

The third proportional to 40,833 and 85,819.50 is: 180,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,833 : 85,819.50 = 85,819.50 : x
  2. Step 2: Convert to fraction form
    40,833/85,819.50 = 85,819.50/x
  3. Step 3: Cross multiply
    40,833x = 85,819.50 × 85,819.50
  4. Step 4: Simplify right side
    40,833x = 7,364,986,580.25
  5. Step 5: Solve for x
    x = 7,364,986,580.25/40,833
  6. Step 6: Final answer
    x = 180,368.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.