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Finding the Third Proportional to 54,965,569 and 119,402,306

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Solution

The third proportional to 54,965,569 and 119,402,306 is: 259,378,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965,569 : 119,402,306 = 119,402,306 : x
  2. Step 2: Convert to fraction form
    54,965,569/119,402,306 = 119,402,306/x
  3. Step 3: Cross multiply
    54,965,569x = 119,402,306 × 119,402,306
  4. Step 4: Simplify right side
    54,965,569x = 14,256,910,678,117,636
  5. Step 5: Solve for x
    x = 14,256,910,678,117,636/54,965,569
  6. Step 6: Final answer
    x = 259,378,933.71

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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.