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Finding the Third Proportional to 46,770,498 and 102,040,164

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Solution

The third proportional to 46,770,498 and 102,040,164 is: 222,623,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770,498 : 102,040,164 = 102,040,164 : x
  2. Step 2: Convert to fraction form
    46,770,498/102,040,164 = 102,040,164/x
  3. Step 3: Cross multiply
    46,770,498x = 102,040,164 × 102,040,164
  4. Step 4: Simplify right side
    46,770,498x = 10,412,195,069,146,896
  5. Step 5: Solve for x
    x = 10,412,195,069,146,896/46,770,498
  6. Step 6: Final answer
    x = 222,623,138.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.