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Finding the Third Proportional to 166,148,417 and 363,618,178

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Solution

The third proportional to 166,148,417 and 363,618,178 is: 795,783,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,148,417 : 363,618,178 = 363,618,178 : x
  2. Step 2: Convert to fraction form
    166,148,417/363,618,178 = 363,618,178/x
  3. Step 3: Cross multiply
    166,148,417x = 363,618,178 × 363,618,178
  4. Step 4: Simplify right side
    166,148,417x = 132,218,179,372,039,680
  5. Step 5: Solve for x
    x = 132,218,179,372,039,680/166,148,417
  6. Step 6: Final answer
    x = 795,783,563.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.