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Finding the Third Proportional to 180,375,120 and 395,223,696

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Solution

The third proportional to 180,375,120 and 395,223,696 is: 865,982,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,375,120 : 395,223,696 = 395,223,696 : x
  2. Step 2: Convert to fraction form
    180,375,120/395,223,696 = 395,223,696/x
  3. Step 3: Cross multiply
    180,375,120x = 395,223,696 × 395,223,696
  4. Step 4: Simplify right side
    180,375,120x = 156,201,769,879,900,416
  5. Step 5: Solve for x
    x = 156,201,769,879,900,416/180,375,120
  6. Step 6: Final answer
    x = 865,982,902.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.