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Finding the Third Proportional to 119,763,816 and 259,855,314

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Solution

The third proportional to 119,763,816 and 259,855,314 is: 563,816,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,763,816 : 259,855,314 = 259,855,314 : x
  2. Step 2: Convert to fraction form
    119,763,816/259,855,314 = 259,855,314/x
  3. Step 3: Cross multiply
    119,763,816x = 259,855,314 × 259,855,314
  4. Step 4: Simplify right side
    119,763,816x = 67,524,784,214,038,592
  5. Step 5: Solve for x
    x = 67,524,784,214,038,592/119,763,816
  6. Step 6: Final answer
    x = 563,816,238.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.