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Finding the Third Proportional to 82,204,490 and 178,880,224

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Solution

The third proportional to 82,204,490 and 178,880,224 is: 389,250,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204,490 : 178,880,224 = 178,880,224 : x
  2. Step 2: Convert to fraction form
    82,204,490/178,880,224 = 178,880,224/x
  3. Step 3: Cross multiply
    82,204,490x = 178,880,224 × 178,880,224
  4. Step 4: Simplify right side
    82,204,490x = 31,998,134,538,290,176
  5. Step 5: Solve for x
    x = 31,998,134,538,290,176/82,204,490
  6. Step 6: Final answer
    x = 389,250,447.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.