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Finding the Third Proportional to 166,170,825 and 384,655,390.31

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Solution

The third proportional to 166,170,825 and 384,655,390.31 is: 890,407,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,170,825 : 384,655,390.31 = 384,655,390.31 : x
  2. Step 2: Convert to fraction form
    166,170,825/384,655,390.31 = 384,655,390.31/x
  3. Step 3: Cross multiply
    166,170,825x = 384,655,390.31 × 384,655,390.31
  4. Step 4: Simplify right side
    166,170,825x = 147,959,769,296,461,728
  5. Step 5: Solve for x
    x = 147,959,769,296,461,728/166,170,825
  6. Step 6: Final answer
    x = 890,407,622.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.