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Finding the Third Proportional to 189,918 and 401,179.50

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Solution

The third proportional to 189,918 and 401,179.50 is: 847,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,918 : 401,179.50 = 401,179.50 : x
  2. Step 2: Convert to fraction form
    189,918/401,179.50 = 401,179.50/x
  3. Step 3: Cross multiply
    189,918x = 401,179.50 × 401,179.50
  4. Step 4: Simplify right side
    189,918x = 160,944,991,220.25
  5. Step 5: Solve for x
    x = 160,944,991,220.25/189,918
  6. Step 6: Final answer
    x = 847,444.64

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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.