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Finding the Third Proportional to 106,358,310 and 231,351,399

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Solution

The third proportional to 106,358,310 and 231,351,399 is: 503,237,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,358,310 : 231,351,399 = 231,351,399 : x
  2. Step 2: Convert to fraction form
    106,358,310/231,351,399 = 231,351,399/x
  3. Step 3: Cross multiply
    106,358,310x = 231,351,399 × 231,351,399
  4. Step 4: Simplify right side
    106,358,310x = 53,523,469,819,257,200
  5. Step 5: Solve for x
    x = 53,523,469,819,257,200/106,358,310
  6. Step 6: Final answer
    x = 503,237,309.99

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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.