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Finding the Third Proportional to 184,295,736 and 398,148,048

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Solution

The third proportional to 184,295,736 and 398,148,048 is: 860,149,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,295,736 : 398,148,048 = 398,148,048 : x
  2. Step 2: Convert to fraction form
    184,295,736/398,148,048 = 398,148,048/x
  3. Step 3: Cross multiply
    184,295,736x = 398,148,048 × 398,148,048
  4. Step 4: Simplify right side
    184,295,736x = 158,521,868,126,210,304
  5. Step 5: Solve for x
    x = 158,521,868,126,210,304/184,295,736
  6. Step 6: Final answer
    x = 860,149,407.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.