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Finding the Third Proportional to 106,709,812 and 229,597,592

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Solution

The third proportional to 106,709,812 and 229,597,592 is: 494,003,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709,812 : 229,597,592 = 229,597,592 : x
  2. Step 2: Convert to fraction form
    106,709,812/229,597,592 = 229,597,592/x
  3. Step 3: Cross multiply
    106,709,812x = 229,597,592 × 229,597,592
  4. Step 4: Simplify right side
    106,709,812x = 52,715,054,252,198,464
  5. Step 5: Solve for x
    x = 52,715,054,252,198,464/106,709,812
  6. Step 6: Final answer
    x = 494,003,815.25

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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.