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Finding the Third Proportional to 74,293,471 and 156,107,198

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Solution

The third proportional to 74,293,471 and 156,107,198 is: 328,016,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293,471 : 156,107,198 = 156,107,198 : x
  2. Step 2: Convert to fraction form
    74,293,471/156,107,198 = 156,107,198/x
  3. Step 3: Cross multiply
    74,293,471x = 156,107,198 × 156,107,198
  4. Step 4: Simplify right side
    74,293,471x = 24,369,457,267,411,204
  5. Step 5: Solve for x
    x = 24,369,457,267,411,204/74,293,471
  6. Step 6: Final answer
    x = 328,016,135.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.