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Finding the Third Proportional to 119,483,968.50 and 180,325,102.50

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Solution

The third proportional to 119,483,968.50 and 180,325,102.50 is: 272,146,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,483,968.50 : 180,325,102.50 = 180,325,102.50 : x
  2. Step 2: Convert to fraction form
    119,483,968.50/180,325,102.50 = 180,325,102.50/x
  3. Step 3: Cross multiply
    119,483,968.50x = 180,325,102.50 × 180,325,102.50
  4. Step 4: Simplify right side
    119,483,968.50x = 32,517,142,591,635,508
  5. Step 5: Solve for x
    x = 32,517,142,591,635,508/119,483,968.50
  6. Step 6: Final answer
    x = 272,146,489.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.