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Finding the Third Proportional to 144,366,821 and 311,744,919

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Solution

The third proportional to 144,366,821 and 311,744,919 is: 673,180,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,366,821 : 311,744,919 = 311,744,919 : x
  2. Step 2: Convert to fraction form
    144,366,821/311,744,919 = 311,744,919/x
  3. Step 3: Cross multiply
    144,366,821x = 311,744,919 × 311,744,919
  4. Step 4: Simplify right side
    144,366,821x = 97,184,894,522,316,560
  5. Step 5: Solve for x
    x = 97,184,894,522,316,560/144,366,821
  6. Step 6: Final answer
    x = 673,180,262.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.