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Finding the Third Proportional to 92,278,462 and 217,832,130

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Solution

The third proportional to 92,278,462 and 217,832,130 is: 514,213,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278,462 : 217,832,130 = 217,832,130 : x
  2. Step 2: Convert to fraction form
    92,278,462/217,832,130 = 217,832,130/x
  3. Step 3: Cross multiply
    92,278,462x = 217,832,130 × 217,832,130
  4. Step 4: Simplify right side
    92,278,462x = 47,450,836,860,336,896
  5. Step 5: Solve for x
    x = 47,450,836,860,336,896/92,278,462
  6. Step 6: Final answer
    x = 514,213,564.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.