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Finding the Third Proportional to 200,623,324.50 and 282,521,850.50

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Solution

The third proportional to 200,623,324.50 and 282,521,850.50 is: 397,853,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,623,324.50 : 282,521,850.50 = 282,521,850.50 : x
  2. Step 2: Convert to fraction form
    200,623,324.50/282,521,850.50 = 282,521,850.50/x
  3. Step 3: Cross multiply
    200,623,324.50x = 282,521,850.50 × 282,521,850.50
  4. Step 4: Simplify right side
    200,623,324.50x = 79,818,596,009,944,352
  5. Step 5: Solve for x
    x = 79,818,596,009,944,352/200,623,324.50
  6. Step 6: Final answer
    x = 397,853,022.37

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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.