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Finding the Third Proportional to 129,339,414 and 195,351,945

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Solution

The third proportional to 129,339,414 and 195,351,945 is: 295,056,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,339,414 : 195,351,945 = 195,351,945 : x
  2. Step 2: Convert to fraction form
    129,339,414/195,351,945 = 195,351,945/x
  3. Step 3: Cross multiply
    129,339,414x = 195,351,945 × 195,351,945
  4. Step 4: Simplify right side
    129,339,414x = 38,162,382,415,283,024
  5. Step 5: Solve for x
    x = 38,162,382,415,283,024/129,339,414
  6. Step 6: Final answer
    x = 295,056,094.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.