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Finding the Third Proportional to 106,082,784 and 228,488,688

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Solution

The third proportional to 106,082,784 and 228,488,688 is: 492,135,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,082,784 : 228,488,688 = 228,488,688 : x
  2. Step 2: Convert to fraction form
    106,082,784/228,488,688 = 228,488,688/x
  3. Step 3: Cross multiply
    106,082,784x = 228,488,688 × 228,488,688
  4. Step 4: Simplify right side
    106,082,784x = 52,207,080,543,961,344
  5. Step 5: Solve for x
    x = 52,207,080,543,961,344/106,082,784
  6. Step 6: Final answer
    x = 492,135,279.41

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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.