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Finding the Third Proportional to 185,057,743.50 and 406,438,398

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Solution

The third proportional to 185,057,743.50 and 406,438,398 is: 892,652,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,057,743.50 : 406,438,398 = 406,438,398 : x
  2. Step 2: Convert to fraction form
    185,057,743.50/406,438,398 = 406,438,398/x
  3. Step 3: Cross multiply
    185,057,743.50x = 406,438,398 × 406,438,398
  4. Step 4: Simplify right side
    185,057,743.50x = 165,192,171,368,806,400
  5. Step 5: Solve for x
    x = 165,192,171,368,806,400/185,057,743.50
  6. Step 6: Final answer
    x = 892,652,035.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.