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Finding the Third Proportional to 46,250,418 and 102,841,698

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Solution

The third proportional to 46,250,418 and 102,841,698 is: 228,677,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,250,418 : 102,841,698 = 102,841,698 : x
  2. Step 2: Convert to fraction form
    46,250,418/102,841,698 = 102,841,698/x
  3. Step 3: Cross multiply
    46,250,418x = 102,841,698 × 102,841,698
  4. Step 4: Simplify right side
    46,250,418x = 10,576,414,847,523,204
  5. Step 5: Solve for x
    x = 10,576,414,847,523,204/46,250,418
  6. Step 6: Final answer
    x = 228,677,173.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.