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Finding the Third Proportional to 111,411 and 182,890.50

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Solution

The third proportional to 111,411 and 182,890.50 is: 300,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,411 : 182,890.50 = 182,890.50 : x
  2. Step 2: Convert to fraction form
    111,411/182,890.50 = 182,890.50/x
  3. Step 3: Cross multiply
    111,411x = 182,890.50 × 182,890.50
  4. Step 4: Simplify right side
    111,411x = 33,448,934,990.25
  5. Step 5: Solve for x
    x = 33,448,934,990.25/111,411
  6. Step 6: Final answer
    x = 300,230.09

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.