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Finding the Third Proportional to 195,845,384 and 296,286,916

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Solution

The third proportional to 195,845,384 and 296,286,916 is: 448,241,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,845,384 : 296,286,916 = 296,286,916 : x
  2. Step 2: Convert to fraction form
    195,845,384/296,286,916 = 296,286,916/x
  3. Step 3: Cross multiply
    195,845,384x = 296,286,916 × 296,286,916
  4. Step 4: Simplify right side
    195,845,384x = 87,785,936,592,791,056
  5. Step 5: Solve for x
    x = 87,785,936,592,791,056/195,845,384
  6. Step 6: Final answer
    x = 448,241,029.73

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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.