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Finding the Third Proportional to 49,456,442 and 106,225,780

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Solution

The third proportional to 49,456,442 and 106,225,780 is: 228,158,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456,442 : 106,225,780 = 106,225,780 : x
  2. Step 2: Convert to fraction form
    49,456,442/106,225,780 = 106,225,780/x
  3. Step 3: Cross multiply
    49,456,442x = 106,225,780 × 106,225,780
  4. Step 4: Simplify right side
    49,456,442x = 11,283,916,336,608,400
  5. Step 5: Solve for x
    x = 11,283,916,336,608,400/49,456,442
  6. Step 6: Final answer
    x = 228,158,676.21

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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.