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Finding the Third Proportional to 106,451,354,713 and 229,048,023,057

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Solution

The third proportional to 106,451,354,713 and 229,048,023,057 is: 492,835,408,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,451,354,713 : 229,048,023,057 = 229,048,023,057 : x
  2. Step 2: Convert to fraction form
    106,451,354,713/229,048,023,057 = 229,048,023,057/x
  3. Step 3: Cross multiply
    106,451,354,713x = 229,048,023,057 × 229,048,023,057
  4. Step 4: Simplify right side
    106,451,354,713x = 52,462,996,866,320,006,381,568
  5. Step 5: Solve for x
    x = 52,462,996,866,320,006,381,568/106,451,354,713
  6. Step 6: Final answer
    x = 492,835,408,321.14

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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.