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Finding the Third Proportional to 68,571,648 and 142,823,808

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Solution

The third proportional to 68,571,648 and 142,823,808 is: 297,479,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,571,648 : 142,823,808 = 142,823,808 : x
  2. Step 2: Convert to fraction form
    68,571,648/142,823,808 = 142,823,808/x
  3. Step 3: Cross multiply
    68,571,648x = 142,823,808 × 142,823,808
  4. Step 4: Simplify right side
    68,571,648x = 20,398,640,131,620,864
  5. Step 5: Solve for x
    x = 20,398,640,131,620,864/68,571,648
  6. Step 6: Final answer
    x = 297,479,216.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.