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Finding the Third Proportional to 106,082,786 and 228,488,692

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Solution

The third proportional to 106,082,786 and 228,488,692 is: 492,135,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,082,786 : 228,488,692 = 228,488,692 : x
  2. Step 2: Convert to fraction form
    106,082,786/228,488,692 = 228,488,692/x
  3. Step 3: Cross multiply
    106,082,786x = 228,488,692 × 228,488,692
  4. Step 4: Simplify right side
    106,082,786x = 52,207,082,371,870,864
  5. Step 5: Solve for x
    x = 52,207,082,371,870,864/106,082,786
  6. Step 6: Final answer
    x = 492,135,287.36

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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.