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Finding the Third Proportional to 64,685,408 and 141,524,800

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Solution

The third proportional to 64,685,408 and 141,524,800 is: 309,641,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,685,408 : 141,524,800 = 141,524,800 : x
  2. Step 2: Convert to fraction form
    64,685,408/141,524,800 = 141,524,800/x
  3. Step 3: Cross multiply
    64,685,408x = 141,524,800 × 141,524,800
  4. Step 4: Simplify right side
    64,685,408x = 20,029,269,015,040,000
  5. Step 5: Solve for x
    x = 20,029,269,015,040,000/64,685,408
  6. Step 6: Final answer
    x = 309,641,225.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.