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Finding the Third Proportional to 83,907,225 and 184,465,620

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Solution

The third proportional to 83,907,225 and 184,465,620 is: 405,537,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907,225 : 184,465,620 = 184,465,620 : x
  2. Step 2: Convert to fraction form
    83,907,225/184,465,620 = 184,465,620/x
  3. Step 3: Cross multiply
    83,907,225x = 184,465,620 × 184,465,620
  4. Step 4: Simplify right side
    83,907,225x = 34,027,564,961,984,400
  5. Step 5: Solve for x
    x = 34,027,564,961,984,400/83,907,225
  6. Step 6: Final answer
    x = 405,537,961.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.