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Finding the Third Proportional to 83,907,227 and 184,465,624

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Solution

The third proportional to 83,907,227 and 184,465,624 is: 405,537,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907,227 : 184,465,624 = 184,465,624 : x
  2. Step 2: Convert to fraction form
    83,907,227/184,465,624 = 184,465,624/x
  3. Step 3: Cross multiply
    83,907,227x = 184,465,624 × 184,465,624
  4. Step 4: Simplify right side
    83,907,227x = 34,027,566,437,709,376
  5. Step 5: Solve for x
    x = 34,027,566,437,709,376/83,907,227
  6. Step 6: Final answer
    x = 405,537,969.19

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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.