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Finding the Third Proportional to 90,920,099 and 199,442,794

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Solution

The third proportional to 90,920,099 and 199,442,794 is: 437,498,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,920,099 : 199,442,794 = 199,442,794 : x
  2. Step 2: Convert to fraction form
    90,920,099/199,442,794 = 199,442,794/x
  3. Step 3: Cross multiply
    90,920,099x = 199,442,794 × 199,442,794
  4. Step 4: Simplify right side
    90,920,099x = 39,777,428,078,526,432
  5. Step 5: Solve for x
    x = 39,777,428,078,526,432/90,920,099
  6. Step 6: Final answer
    x = 437,498,732.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.