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Finding the Third Proportional to 46,729,251 and 102,267,684

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Solution

The third proportional to 46,729,251 and 102,267,684 is: 223,814,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729,251 : 102,267,684 = 102,267,684 : x
  2. Step 2: Convert to fraction form
    46,729,251/102,267,684 = 102,267,684/x
  3. Step 3: Cross multiply
    46,729,251x = 102,267,684 × 102,267,684
  4. Step 4: Simplify right side
    46,729,251x = 10,458,679,190,723,856
  5. Step 5: Solve for x
    x = 10,458,679,190,723,856/46,729,251
  6. Step 6: Final answer
    x = 223,814,398.20

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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.