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Finding the Third Proportional to 166,164,138 and 363,599,460

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Solution

The third proportional to 166,164,138 and 363,599,460 is: 795,626,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,164,138 : 363,599,460 = 363,599,460 : x
  2. Step 2: Convert to fraction form
    166,164,138/363,599,460 = 363,599,460/x
  3. Step 3: Cross multiply
    166,164,138x = 363,599,460 × 363,599,460
  4. Step 4: Simplify right side
    166,164,138x = 132,204,567,312,291,600
  5. Step 5: Solve for x
    x = 132,204,567,312,291,600/166,164,138
  6. Step 6: Final answer
    x = 795,626,354.18

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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.