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Finding the Third Proportional to 178,540,414 and 386,875,147

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Solution

The third proportional to 178,540,414 and 386,875,147 is: 838,310,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,540,414 : 386,875,147 = 386,875,147 : x
  2. Step 2: Convert to fraction form
    178,540,414/386,875,147 = 386,875,147/x
  3. Step 3: Cross multiply
    178,540,414x = 386,875,147 × 386,875,147
  4. Step 4: Simplify right side
    178,540,414x = 149,672,379,366,271,616
  5. Step 5: Solve for x
    x = 149,672,379,366,271,616/178,540,414
  6. Step 6: Final answer
    x = 838,310,923.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.