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Finding the Third Proportional to 110,226,048 and 181,498,814

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Solution

The third proportional to 110,226,048 and 181,498,814 is: 298,856,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,226,048 : 181,498,814 = 181,498,814 : x
  2. Step 2: Convert to fraction form
    110,226,048/181,498,814 = 181,498,814/x
  3. Step 3: Cross multiply
    110,226,048x = 181,498,814 × 181,498,814
  4. Step 4: Simplify right side
    110,226,048x = 32,941,819,483,406,596
  5. Step 5: Solve for x
    x = 32,941,819,483,406,596/110,226,048
  6. Step 6: Final answer
    x = 298,856,940.63

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.