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Finding the Third Proportional to 200,622,550.50 and 406,886,152.50

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Solution

The third proportional to 200,622,550.50 and 406,886,152.50 is: 825,213,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622,550.50 : 406,886,152.50 = 406,886,152.50 : x
  2. Step 2: Convert to fraction form
    200,622,550.50/406,886,152.50 = 406,886,152.50/x
  3. Step 3: Cross multiply
    200,622,550.50x = 406,886,152.50 × 406,886,152.50
  4. Step 4: Simplify right side
    200,622,550.50x = 165,556,341,096,253,248
  5. Step 5: Solve for x
    x = 165,556,341,096,253,248/200,622,550.50
  6. Step 6: Final answer
    x = 825,213,021.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.