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Finding the Third Proportional to 80,970,638 and 176,317,156

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Solution

The third proportional to 80,970,638 and 176,317,156 is: 383,938,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970,638 : 176,317,156 = 176,317,156 : x
  2. Step 2: Convert to fraction form
    80,970,638/176,317,156 = 176,317,156/x
  3. Step 3: Cross multiply
    80,970,638x = 176,317,156 × 176,317,156
  4. Step 4: Simplify right side
    80,970,638x = 31,087,739,499,928,336
  5. Step 5: Solve for x
    x = 31,087,739,499,928,336/80,970,638
  6. Step 6: Final answer
    x = 383,938,428.40

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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.