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Finding the Third Proportional to 200,623,329 and 282,521,856

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Solution

The third proportional to 200,623,329 and 282,521,856 is: 397,853,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,623,329 : 282,521,856 = 282,521,856 : x
  2. Step 2: Convert to fraction form
    200,623,329/282,521,856 = 282,521,856/x
  3. Step 3: Cross multiply
    200,623,329x = 282,521,856 × 282,521,856
  4. Step 4: Simplify right side
    200,623,329x = 79,818,599,117,684,736
  5. Step 5: Solve for x
    x = 79,818,599,117,684,736/200,623,329
  6. Step 6: Final answer
    x = 397,853,028.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.