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Finding the Third Proportional to 49,236,498 and 106,045,092

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Solution

The third proportional to 49,236,498 and 106,045,092 is: 228,398,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236,498 : 106,045,092 = 106,045,092 : x
  2. Step 2: Convert to fraction form
    49,236,498/106,045,092 = 106,045,092/x
  3. Step 3: Cross multiply
    49,236,498x = 106,045,092 × 106,045,092
  4. Step 4: Simplify right side
    49,236,498x = 11,245,561,537,288,464
  5. Step 5: Solve for x
    x = 11,245,561,537,288,464/49,236,498
  6. Step 6: Final answer
    x = 228,398,890.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.