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Finding the Third Proportional to 166,769,936 and 258,539,852

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Solution

The third proportional to 166,769,936 and 258,539,852 is: 400,808,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,769,936 : 258,539,852 = 258,539,852 : x
  2. Step 2: Convert to fraction form
    166,769,936/258,539,852 = 258,539,852/x
  3. Step 3: Cross multiply
    166,769,936x = 258,539,852 × 258,539,852
  4. Step 4: Simplify right side
    166,769,936x = 66,842,855,072,181,904
  5. Step 5: Solve for x
    x = 66,842,855,072,181,904/166,769,936
  6. Step 6: Final answer
    x = 400,808,782.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.