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Finding the Third Proportional to 46,503,936 and 100,115,088

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Solution

The third proportional to 46,503,936 and 100,115,088 is: 215,530,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,503,936 : 100,115,088 = 100,115,088 : x
  2. Step 2: Convert to fraction form
    46,503,936/100,115,088 = 100,115,088/x
  3. Step 3: Cross multiply
    46,503,936x = 100,115,088 × 100,115,088
  4. Step 4: Simplify right side
    46,503,936x = 10,023,030,845,247,744
  5. Step 5: Solve for x
    x = 10,023,030,845,247,744/46,503,936
  6. Step 6: Final answer
    x = 215,530,806.80

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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.