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Finding the Third Proportional to 46,503,938 and 100,115,092

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Solution

The third proportional to 46,503,938 and 100,115,092 is: 215,530,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,503,938 : 100,115,092 = 100,115,092 : x
  2. Step 2: Convert to fraction form
    46,503,938/100,115,092 = 100,115,092/x
  3. Step 3: Cross multiply
    46,503,938x = 100,115,092 × 100,115,092
  4. Step 4: Simplify right side
    46,503,938x = 10,023,031,646,168,464
  5. Step 5: Solve for x
    x = 10,023,031,646,168,464/46,503,938
  6. Step 6: Final answer
    x = 215,530,814.75

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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.