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Finding the Third Proportional to 49,344,768 and 106,926,868

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Solution

The third proportional to 49,344,768 and 106,926,868 is: 231,703,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344,768 : 106,926,868 = 106,926,868 : x
  2. Step 2: Convert to fraction form
    49,344,768/106,926,868 = 106,926,868/x
  3. Step 3: Cross multiply
    49,344,768x = 106,926,868 × 106,926,868
  4. Step 4: Simplify right side
    49,344,768x = 11,433,355,100,289,424
  5. Step 5: Solve for x
    x = 11,433,355,100,289,424/49,344,768
  6. Step 6: Final answer
    x = 231,703,492.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.