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Finding the Third Proportional to 166,164,139 and 363,599,462

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Solution

The third proportional to 166,164,139 and 363,599,462 is: 795,626,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,164,139 : 363,599,462 = 363,599,462 : x
  2. Step 2: Convert to fraction form
    166,164,139/363,599,462 = 363,599,462/x
  3. Step 3: Cross multiply
    166,164,139x = 363,599,462 × 363,599,462
  4. Step 4: Simplify right side
    166,164,139x = 132,204,568,766,689,440
  5. Step 5: Solve for x
    x = 132,204,568,766,689,440/166,164,139
  6. Step 6: Final answer
    x = 795,626,358.14

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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.