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Finding the Third Proportional to 82,204,482 and 178,880,208

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Solution

The third proportional to 82,204,482 and 178,880,208 is: 389,250,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204,482 : 178,880,208 = 178,880,208 : x
  2. Step 2: Convert to fraction form
    82,204,482/178,880,208 = 178,880,208/x
  3. Step 3: Cross multiply
    82,204,482x = 178,880,208 × 178,880,208
  4. Step 4: Simplify right side
    82,204,482x = 31,998,128,814,123,264
  5. Step 5: Solve for x
    x = 31,998,128,814,123,264/82,204,482
  6. Step 6: Final answer
    x = 389,250,415.98

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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.