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Finding the Third Proportional to 76,193,102.25 and 166,942,692.56

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Solution

The third proportional to 76,193,102.25 and 166,942,692.56 is: 365,779,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193,102.25 : 166,942,692.56 = 166,942,692.56 : x
  2. Step 2: Convert to fraction form
    76,193,102.25/166,942,692.56 = 166,942,692.56/x
  3. Step 3: Cross multiply
    76,193,102.25x = 166,942,692.56 × 166,942,692.56
  4. Step 4: Simplify right side
    76,193,102.25x = 27,869,862,600,017,392
  5. Step 5: Solve for x
    x = 27,869,862,600,017,392/76,193,102.25
  6. Step 6: Final answer
    x = 365,779,339.30

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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.