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Finding the Third Proportional to 180,810,336 and 392,444,249

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Solution

The third proportional to 180,810,336 and 392,444,249 is: 851,790,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810,336 : 392,444,249 = 392,444,249 : x
  2. Step 2: Convert to fraction form
    180,810,336/392,444,249 = 392,444,249/x
  3. Step 3: Cross multiply
    180,810,336x = 392,444,249 × 392,444,249
  4. Step 4: Simplify right side
    180,810,336x = 154,012,488,573,174,016
  5. Step 5: Solve for x
    x = 154,012,488,573,174,016/180,810,336
  6. Step 6: Final answer
    x = 851,790,290.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.