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Finding the Third Proportional to 80,970,633 and 176,317,146

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Solution

The third proportional to 80,970,633 and 176,317,146 is: 383,938,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970,633 : 176,317,146 = 176,317,146 : x
  2. Step 2: Convert to fraction form
    80,970,633/176,317,146 = 176,317,146/x
  3. Step 3: Cross multiply
    80,970,633x = 176,317,146 × 176,317,146
  4. Step 4: Simplify right side
    80,970,633x = 31,087,735,973,585,316
  5. Step 5: Solve for x
    x = 31,087,735,973,585,316/80,970,633
  6. Step 6: Final answer
    x = 383,938,408.55

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Why These Related Problems?

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