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Finding the Third Proportional to 43,083 and 90,697.50

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Solution

The third proportional to 43,083 and 90,697.50 is: 190,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,083 : 90,697.50 = 90,697.50 : x
  2. Step 2: Convert to fraction form
    43,083/90,697.50 = 90,697.50/x
  3. Step 3: Cross multiply
    43,083x = 90,697.50 × 90,697.50
  4. Step 4: Simplify right side
    43,083x = 8,226,036,506.25
  5. Step 5: Solve for x
    x = 8,226,036,506.25/43,083
  6. Step 6: Final answer
    x = 190,934.63

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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.