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Finding the Third Proportional to 76,193,136.84 and 166,942,774.83

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Solution

The third proportional to 76,193,136.84 and 166,942,774.83 is: 365,779,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193,136.84 : 166,942,774.83 = 166,942,774.83 : x
  2. Step 2: Convert to fraction form
    76,193,136.84/166,942,774.83 = 166,942,774.83/x
  3. Step 3: Cross multiply
    76,193,136.84x = 166,942,774.83 × 166,942,774.83
  4. Step 4: Simplify right side
    76,193,136.84x = 27,869,890,067,312,376
  5. Step 5: Solve for x
    x = 27,869,890,067,312,376/76,193,136.84
  6. Step 6: Final answer
    x = 365,779,533.72

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