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Finding the Third Proportional to 244,513,184 and 365,800,326

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Solution

The third proportional to 244,513,184 and 365,800,326 is: 547,250,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,513,184 : 365,800,326 = 365,800,326 : x
  2. Step 2: Convert to fraction form
    244,513,184/365,800,326 = 365,800,326/x
  3. Step 3: Cross multiply
    244,513,184x = 365,800,326 × 365,800,326
  4. Step 4: Simplify right side
    244,513,184x = 133,809,878,501,706,272
  5. Step 5: Solve for x
    x = 133,809,878,501,706,272/244,513,184
  6. Step 6: Final answer
    x = 547,250,157.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.