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Finding the Third Proportional to 200,623,323.50 and 282,521,849

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Solution

The third proportional to 200,623,323.50 and 282,521,849 is: 397,853,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,623,323.50 : 282,521,849 = 282,521,849 : x
  2. Step 2: Convert to fraction form
    200,623,323.50/282,521,849 = 282,521,849/x
  3. Step 3: Cross multiply
    200,623,323.50x = 282,521,849 × 282,521,849
  4. Step 4: Simplify right side
    200,623,323.50x = 79,818,595,162,378,800
  5. Step 5: Solve for x
    x = 79,818,595,162,378,800/200,623,323.50
  6. Step 6: Final answer
    x = 397,853,020.13

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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.